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(*  The Mathematica License under which this file was created prohibits  *)
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(*  Wolfram Research, Inc. For additional information concerning CDF     *)
(*  licensing and redistribution see:                                    *)
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(*        www.wolfram.com/cdf/adopting-cdf/licensing-options.html        *)
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             71.; $CellContext`Amplitude$$ = 0.01; $CellContext`Pulse$$ = 
             True; $CellContext`yMinPlot$$ = -0.13; $CellContext`yMaxPlot$$ = 
             0.22; $CellContext`SaveFreq = 2; $CellContext`n$$ = 128, 
            3, $CellContext`exampleQ = 3; $CellContext`Qmin$$ = 
             Part[$CellContext`IgridInfo, 2]; $CellContext`Qmax$$ = 
             Part[$CellContext`IgridInfo, 
               3]; $CellContext`\[CapitalDelta]t$$ = $CellContext`dtI; \
$CellContext`NStep$$ = $CellContext`nStepI; $CellContext`Q0$$ = 
             Part[$CellContext`IpsiInit, 3]; $CellContext`P0$$ = 
             Part[$CellContext`IpsiInit, 4]; $CellContext`\[Sigma]\[Psi]$$ = 
             Part[$CellContext`IpsiInit, 5]; $CellContext`popS2$$ = 
             Part[$CellContext`IpsiInit, 2, 2]; $CellContext`\[Omega]$$ = 
             0.1397; $CellContext`t0$$ = 1120; $CellContext`\[Sigma]$$ = 
             413; $CellContext`Amplitude$$ = 0.88; $CellContext`Pulse$$ = 
             True; $CellContext`yMinPlot$$ = -0.13; $CellContext`yMaxPlot$$ = 
             0.22; $CellContext`SaveFreq = 2; $CellContext`n$$ = 128, 
            4, $CellContext`exampleQ = 4; $CellContext`Qmin$$ = 
             3; $CellContext`Qmax$$ = 30; $CellContext`\[CapitalDelta]t$$ = 
             15; $CellContext`NStep$$ = 2100; $CellContext`Q0$$ = 
             5.3794; $CellContext`P0$$ = 0.; $CellContext`\[Sigma]\[Psi]$$ = 
             Part[$CellContext`IpsiInit, 5]; $CellContext`popS2$$ = 
             1; $CellContext`\[Omega]$$ = 0.1397; $CellContext`t0$$ = 
             1120; $CellContext`\[Sigma]$$ = 413; $CellContext`Amplitude$$ = 
             0.; $CellContext`Pulse$$ = 
             False; $CellContext`yMinPlot$$ = -0.13; $CellContext`yMaxPlot$$ = 
             0.22; $CellContext`SaveFreq = 2; $CellContext`n$$ = 512; Null, 
            5, $CellContext`exampleQ = 5; $CellContext`Qmin$$ = 
             6; $CellContext`Qmax$$ = 25; $CellContext`\[CapitalDelta]t$$ = 
             13; $CellContext`NStep$$ = 1800; $CellContext`Q0$$ = 
             9.9; $CellContext`P0$$ = 33.; $CellContext`\[Sigma]\[Psi]$$ = 
             Part[$CellContext`IpsiInit, 5]; $CellContext`popS2$$ = 
             1; $CellContext`\[Omega]$$ = 0.1397; $CellContext`t0$$ = 
             1120; $CellContext`\[Sigma]$$ = 413; $CellContext`Amplitude$$ = 
             0.; $CellContext`Pulse$$ = 
             False; $CellContext`yMinPlot$$ = -0.1; $CellContext`yMaxPlot$$ = 
             0.1; $CellContext`SaveFreq = 2; $CellContext`n$$ = 512; Null, 
            6, $CellContext`exampleQ = 6; $CellContext`Qmin$$ = 
             8; $CellContext`Qmax$$ = 30; $CellContext`\[CapitalDelta]t$$ = 
             8; $CellContext`NStep$$ = 600; $CellContext`Q0$$ = 
             9.9; $CellContext`P0$$ = 125.; $CellContext`\[Sigma]\[Psi]$$ = 
             Part[$CellContext`IpsiInit, 5]; $CellContext`popS2$$ = 
             1; $CellContext`\[Omega]$$ = 0.1397; $CellContext`t0$$ = 
             1120; $CellContext`\[Sigma]$$ = 413; $CellContext`Amplitude$$ = 
             0.; $CellContext`Pulse$$ = 
             False; $CellContext`yMinPlot$$ = -0.1; $CellContext`yMaxPlot$$ = 
             0.1; $CellContext`SaveFreq = 2; $CellContext`n$$ = 1024; Null]; 
          Null]; $CellContext`time$ = (Range[0, 
             
             Floor[$CellContext`NStep$$]] $CellContext`\[CapitalDelta]t$$) \
$CellContext`tPlot$$; $CellContext`pulse$ = 
         Map[$CellContext`Amplitude$$ $CellContext`gaussPulseShapeF[{
             "gaussian_envelope", {$CellContext`Amplitude$$, \
$CellContext`Amplitude$$, $CellContext`Amplitude$$}, $CellContext`\[Omega]$$, \
$CellContext`\[Sigma]$$, $CellContext`t0$$}, #]& , 
           Range[
           0, Floor[$CellContext`NStep$$] $CellContext`\[CapitalDelta]t$$, \
$CellContext`\[CapitalDelta]t$$]]; If[
          
          Not[$CellContext`Pulse$$], $CellContext`pulse$ = \
$CellContext`pulse$ 0.]; 
        If[$CellContext`tPlot$$ != 1, $CellContext`timeUnit$ = 
          "[fs]"]; $CellContext`plotPulse$ = ListLinePlot[
           Transpose[{$CellContext`time$, $CellContext`pulse$}], PlotStyle -> {
             ColorData["WebSafe"]["#CC0000"]}, PlotRange -> All, AxesLabel -> {
             StringJoin["Time ", $CellContext`timeUnit$], 
             "Pulse"}]; $CellContext`potQ0$ = Part[
           $CellContext`potentialE[$CellContext`potOpt, $CellContext`Q0$$], 1,
            1]; $CellContext`plotArrow$ = Graphics[{
            Opacity[
             If[$CellContext`Pulse$$, 1, 0]], 
            ColorData["WebSafe"]["#CC0000"], Thick, Dashed, 
            
            Arrow[{{$CellContext`Q0$$, $CellContext`potQ0$}, \
{$CellContext`Q0$$, $CellContext`potQ0$ + $CellContext`\[Omega]$$}}]}]; \
$CellContext`grid$ = N[
           
           Range[$CellContext`Qmin$$, $CellContext`Qmax$$ - \
($CellContext`Qmax$$ - $CellContext`Qmin$$)/$CellContext`n$$, \
($CellContext`Qmax$$ - $CellContext`Qmin$$)/$CellContext`n$$]]; \
$CellContext`potential$ = 
         Map[$CellContext`potentialE[$CellContext`potOpt, #]& , \
$CellContext`grid$]; $CellContext`potentialDiag$ = Map[Sort[
            
            Eigenvalues[#]]& , $CellContext`potential$]; $CellContext`psi$ = \
$CellContext`initPsi[{
           "GWP", {1. - $CellContext`popS2$$, $CellContext`popS2$$}, \
$CellContext`Q0$$, $CellContext`P0$$, $CellContext`\[Sigma]\[Psi]$$}, \
$CellContext`grid$]; $CellContext`plotPot$ = Show[
           ListLinePlot[{
             Transpose[{$CellContext`grid$, $CellContext`scale$ Abs[
                  Part[$CellContext`psi$, 1]] + 
               Part[$CellContext`potential$, All, 1, 1]}], 
             Transpose[{$CellContext`grid$, $CellContext`scale$ Abs[
                  Part[$CellContext`psi$, 2]] + 
               Part[$CellContext`potential$, All, 2, 2]}], 
             Transpose[{$CellContext`grid$, 
               Part[$CellContext`potential$, All, 1, 1]}], 
             Transpose[{$CellContext`grid$, 
               Part[$CellContext`potential$, All, 2, 2]}]}, PlotStyle -> 
            Thick, PlotRange -> All, 
            Filling -> {{1 -> {3}}, {2 -> {4}}}], $CellContext`plotArrow$, 
           PlotLabel -> 
           "Wave packet on the potential energy surfaces\n and the pulse \
energy", PlotRange -> {
            All, {$CellContext`yMinPlot$$, $CellContext`yMaxPlot$$}}]; \
$CellContext`plotPotDiag = Show[
           ListLinePlot[{
             Transpose[{$CellContext`grid$, 
               Part[$CellContext`potentialDiag$, All, 1]}], 
             Transpose[{$CellContext`grid$, 
               Part[$CellContext`potentialDiag$, All, 2]}]}, PlotStyle -> 
            Thick, PlotRange -> All, ImageSize -> Medium], 
           PlotRange -> {
            All, {$CellContext`yMinPlot$$, $CellContext`yMaxPlot$$}}]; \
$CellContext`calc[] := 
         Module[{}, 
           If[Floor[$CellContext`NStep$$] > $CellContext`saveLimit, \
$CellContext`saveFreq = 
             Floor[Floor[$CellContext`NStep$$]/$CellContext`saveLimit], \
$CellContext`saveFreq = 
             1]; {$CellContext`psiSave, $CellContext`pop, \
$CellContext`avPosS1, $CellContext`avPosS2} = \
$CellContext`propagation[$CellContext`\[CapitalDelta]t$$, 
              
              Floor[$CellContext`NStep$$], $CellContext`mass, \
{$CellContext`n$$, $CellContext`Qmin$$, $CellContext`Qmax$$}, {
              "GWP", {1. - $CellContext`popS2$$, $CellContext`popS2$$}, \
$CellContext`Q0$$, $CellContext`P0$$, $CellContext`\[Sigma]\[Psi]$$}, \
$CellContext`potOpt, $CellContext`gridLimit, $CellContext`saveFreq, \
$CellContext`Pulse$$, {
              "gaussian_envelope", {$CellContext`Amplitude$$, \
$CellContext`Amplitude$$, $CellContext`Amplitude$$}, $CellContext`\[Omega]$$, \
$CellContext`\[Sigma]$$, $CellContext`t0$$}, $CellContext`dipolInfo]; \
$CellContext`dt = $CellContext`\[CapitalDelta]t$$; $CellContext`nStep = 
            Floor[$CellContext`NStep$$]; $CellContext`gridInfo = \
{$CellContext`n$$, $CellContext`Qmin$$, $CellContext`Qmax$$}; \
$CellContext`psiInit = {
             "GWP", {1. - $CellContext`popS2$$, $CellContext`popS2$$}, \
$CellContext`Q0$$, $CellContext`P0$$, $CellContext`\[Sigma]\[Psi]$$}; \
$CellContext`pulseInfo = {
             "gaussian_envelope", {$CellContext`Amplitude$$, \
$CellContext`Amplitude$$, $CellContext`Amplitude$$}, $CellContext`\[Omega]$$, \
$CellContext`\[Sigma]$$, $CellContext`t0$$}; $CellContext`timeDep = \
$CellContext`Pulse$$; $CellContext`rangePot = {
             All, {$CellContext`yMinPlot$$, $CellContext`yMaxPlot$$}}; Null]; 
        GraphicsColumn[{$CellContext`plotPot$, $CellContext`plotPulse$}, 
          ImageSize -> Large]], 
      "Specifications" :> {{$CellContext`examples$$, {
         "reset", 1, 2, 3, 4, 5, 6}}, 
        Button[
        "Perform Calculation", $CellContext`buttColor = 
          Red; $CellContext`newCalc = 
          True; $CellContext`calc[]; $CellContext`buttColor = Green, 
         Background -> Dynamic[$CellContext`buttColor], Method -> "Queued"], 
        Delimiter, {{$CellContext`NStep$$, 600, "nStep"}, FieldSize -> 6, 
         ControlPlacement -> 1}, {$CellContext`\[CapitalDelta]t$$, 4.5, 
         FieldSize -> 6, ControlPlacement -> 2}, 
        OpenerView[{"Calculation Parameter", 
          Column[{
            Manipulate`Place[1], 
            Manipulate`Place[2]}]}], {$CellContext`Qmin$$, 3, 
         ControlPlacement -> 3}, {$CellContext`Qmax$$, 8, ControlPlacement -> 
         4}, {$CellContext`n$$, {64, 128, 256, 512, 1024}, ControlPlacement -> 
         5}, 
        OpenerView[{"Grid Information", 
          Column[{
            Manipulate`Place[3], 
            Manipulate`Place[4], 
            Manipulate`Place[5]}]}], Delimiter, 
        Style[
        "\[Psi] Parameter", Bold, 
         Larger], {{$CellContext`Q0$$, 9.9, "Initial position"}, 
         Dynamic[
          If[$CellContext`Qmin$$ > 4.3, $CellContext`Qmin$$, 4.3]], 
         Dynamic[$CellContext`Qmax$$], Appearance -> 
         "Labeled"}, {{$CellContext`\[Sigma]\[Psi]$$, 0.14802122290650707`, 
          "Initial width"}, 0.01, 3, Appearance -> "Labeled", 
         ControlPlacement -> 
         6}, {{$CellContext`popS2$$, 0, "State 2 population "}, 0., 1., 
         Appearance -> "Labeled", ControlPlacement -> 
         7}, {{$CellContext`P0$$, 33., "Initial momentum"}, ControlPlacement -> 
         8}, 
        OpenerView[{"Advanced", 
          Column[{
            Manipulate`Place[6], 
            Manipulate`Place[7], 
            Manipulate`Place[8]}]}], Delimiter, 
        Style[
        "Pulse Parameter", Bold, 
         Larger], {{$CellContext`Pulse$$, False, "Pulse"}, {True, False}, 
         ControlType -> 
         Checkbox}, {{$CellContext`\[Omega]$$, 0.1397, "Frequency"}, 0.1, 
         0.18, Appearance -> 
         "Labeled"}, {{$CellContext`t0$$, 1120, "Time shift"}, 0, 
         Dynamic[Floor[$CellContext`NStep$$] $CellContext`\[CapitalDelta]t$$],
          Appearance -> "Labeled"}, {{$CellContext`\[Sigma]$$, 413, "Width"}, 
         10, 500, Appearance -> "Labeled"}, {{$CellContext`Amplitude$$, 0.}, 
         0., 1, Appearance -> "Labeled"}, Delimiter, 
        Style[
        "Plot Options", Bold, 
         Larger], {{$CellContext`tPlot$$, 1, "Show time in [fs]"}, {
         1, 0.0241888}, ControlType -> 
         Checkbox}, {{$CellContext`yMinPlot$$, -0.13, "y-Axes:  MIN"}, 
         FieldSize -> 6, ControlPlacement -> 
         9}, {{$CellContext`yMaxPlot$$, 0.22, "    MAX"}, FieldSize -> 6, 
         ControlPlacement -> 10}, 
        Row[{
          Manipulate`Place[9], 
          Manipulate`Place[10]}], Delimiter, 
        Style["Adiabatic potentials", Bold, Larger], 
        Dynamic[$CellContext`plotPotDiag]}, 
      "Options" :> {ControlPlacement -> Left}, "DefaultOptions" :> {}],
     ImageSizeCache->{983., {365., 371.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    Initialization:>({$CellContext`potentialDiag = {{
         0.40502296892305605924276914482083757562`15.954589770191003, 
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          2.27373900474093737500426964446799805471`15.954589770191003}, {
         0.34036277826778860156051129837717113773`15.954589770191003, 
          2.08984045235278692587147000136472100635`15.954589770191003}, {
         0.31052409000971542551990123630692578342`15.954589770191003, 
          1.92081549693418240920554640123138342562`15.954589770191003}, {
         0.28226849375774165640245470260569539499`15.954589770191003, 
          1.76546117150175585486244202709340776671`15.954589770191003}, {
         0.25553684960376010781848366998394124018`15.954589770191003, 
          1.62267180427020041300076923623772233916`15.954589770191003}, {
         0.23026988022489763840981142843598399742`15.954589770191003, 
          1.49143114947905797151874478563617549406`15.954589770191003}, {
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          1.06437162278689023686753839947624167018`15.954589770191003}, {
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          0.82643908036958990681773771626890393762`15.954589770191003}, {
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          0.12924277505510345640828055701741995705`15.954589770191003}, \
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          0.000055169512753915586286773960718260137444166127550221806`15.\
954589770191003}}, $CellContext`exampleQ = 
       5, $CellContext`IgridInfo = {128, 3, 8}, $CellContext`dtI = 
       4.5, $CellContext`nStepI = 
       600, $CellContext`IpsiInit = {
        "GWP", {1., 0.}, 5.049104313929139, 0., 
         0.14802122290650707`}, $CellContext`IpulseInfo = {
        "gaussian_envelope", {0.02, 0.02, 0.02}, 0.1424032158148838, 166.591, 
         500.}, $CellContext`SaveFreq = 2, $CellContext`gaussPulseShapeF[
         Pattern[$CellContext`timeDepPotOpt, 
          Blank[]], 
         Pattern[$CellContext`t, 
          Blank[]]] := 
       SetPrecision[
        Cos[Part[$CellContext`timeDepPotOpt, 3] $CellContext`t] 
         Exp[-(($CellContext`t - Part[$CellContext`timeDepPotOpt, 5])^2/(2 
            Part[$CellContext`timeDepPotOpt, 
               4]^2))], $MachinePrecision], $CellContext`potentialE[
         Pattern[$CellContext`potOpt, 
          Blank[]], 
         Pattern[$CellContext`qPoint, 
          Blank[]]] := Module[{$CellContext`pot}, Switch[
           Part[$CellContext`potOpt, 1], 
           "vibCouplingFirst", $CellContext`pot = SetPrecision[
              Array[$CellContext`potIndexVibCouplingFirst[$CellContext`qPoint, 
                Part[$CellContext`potOpt, 2], 
                Part[$CellContext`potOpt, 3], 
                Part[$CellContext`potOpt, 4], 
                Part[$CellContext`potOpt, 5], {
                 SlotSequence[1]}]& , {2, 2}], $MachinePrecision]; Null, 
           "NaI", $CellContext`pot = \
$CellContext`potentialNaI[$CellContext`qPoint]; 
           Null]; $CellContext`pot], $CellContext`potOpt = {
        "NaI"}, $CellContext`potIndexVibCouplingFirst[
         Pattern[$CellContext`q, 
          Blank[]], 
         Pattern[$CellContext`verticalE, 
          Blank[]], 
         Pattern[$CellContext`freq, 
          Blank[]], 
         Pattern[$CellContext`vibCorr1st, 
          Blank[]], 
         Pattern[$CellContext`surfCouplings1st, 
          Blank[]], 
         Pattern[$CellContext`matIndex, 
          Blank[]]] := 
       Module[{$CellContext`i = 
          Part[$CellContext`matIndex, 1], $CellContext`j = 
          Part[$CellContext`matIndex, 
            2], $CellContext`cI, $CellContext`n, $CellContext`V, \
$CellContext`nSurf = 2}, 
         Which[$CellContext`i == $CellContext`j, $CellContext`V = 
           Part[$CellContext`verticalE, $CellContext`i] + 
            Total[($CellContext`freq/2.) $CellContext`q^2] + 
            Total[Part[$CellContext`vibCorr1st, $CellContext`i] \
$CellContext`q], $CellContext`j > $CellContext`i, $CellContext`cI = 
            Sum[$CellContext`nSurf - $CellContext`n, {$CellContext`n, 
                1, $CellContext`i - 
                1}] + ($CellContext`j - $CellContext`i); $CellContext`V = 
            Total[Part[$CellContext`surfCouplings1st, $CellContext`cI] \
$CellContext`q], $CellContext`j < $CellContext`i, $CellContext`cI = 
            Sum[$CellContext`nSurf - $CellContext`n, {$CellContext`n, 
                1, $CellContext`j - 
                1}] + ($CellContext`i - $CellContext`j); $CellContext`V = 
            Conjugate[
              Total[
              Part[$CellContext`surfCouplings1st, $CellContext`cI] \
$CellContext`q]]]; $CellContext`V], $CellContext`potentialNaI[
         Pattern[$CellContext`q, 
          Blank[]], 
         Optional[
          Pattern[$CellContext`verticalE, 
           Blank[]], 0.0762548], 
         Optional[
          Pattern[$CellContext`q0, 
           Blank[]], 5.04554]] := 
       Module[{$CellContext`maxE = 50., $CellContext`A2 = 
          101.428, $CellContext`b2 = 2.99849, $CellContext`rho = 
          0.659322, $CellContext`l1 = 2.75328, $CellContext`l2 = 
          43.3979, $CellContext`C2 = 18.9107, $CellContext`A1 = 
          0.0298772, $CellContext`b1 = 2.15905, $CellContext`A12 = 
          0.00202121, $CellContext`b12 = 0.19409, $CellContext`qx = 
          13.0957, $CellContext`pot1, $CellContext`pot2, $CellContext`pot12}, \
$CellContext`pot1 = 
          SetPrecision[$CellContext`A1 
            Exp[(-$CellContext`b1) ($CellContext`q - $CellContext`q0)], \
$MachinePrecision]; $CellContext`pot12 = 
          SetPrecision[$CellContext`A12 
            Exp[(-$CellContext`b12) ($CellContext`q - $CellContext`qx)^2], \
$MachinePrecision]; $CellContext`pot2 = 
          SetPrecision[($CellContext`A2 + ($CellContext`b2/$CellContext`q)^8) 
             Exp[-($CellContext`q/$CellContext`rho)] - 
            1/$CellContext`q - ($CellContext`l1 + $CellContext`l2)/(
            2 $CellContext`q^4) - $CellContext`C2/$CellContext`q^6 - (
             2 $CellContext`l1) ($CellContext`l2/$CellContext`q^7) + \
$CellContext`verticalE, $MachinePrecision]; 
         If[$CellContext`pot1 > $CellContext`maxE, $CellContext`pot1 = \
$CellContext`maxE]; 
         If[$CellContext`pot2 > $CellContext`maxE, $CellContext`pot2 = \
$CellContext`maxE]; {{$CellContext`pot2, $CellContext`pot12}, \
{$CellContext`pot12, $CellContext`pot1}}], $CellContext`initPsi[
         Pattern[$CellContext`psiInit, 
          Blank[]], 
         Pattern[$CellContext`grid, 
          Blank[]]] := Module[{$CellContext`psi}, Switch[
           Part[$CellContext`psiInit, 1], 
           "GWP", $CellContext`psi = 
            Map[(Sqrt[#] Sqrt[1./(Sqrt[Pi] Part[$CellContext`psiInit, 5])]) 
              Exp[(I Part[$CellContext`psiInit, 4]) ($CellContext`grid - 
                  Part[$CellContext`psiInit, 3]) - 
                0.5 (($CellContext`grid - Part[$CellContext`psiInit, 3])/
                  Part[$CellContext`psiInit, 5])^2]& , 
              Part[$CellContext`psiInit, 2]]; 
           Null]; $CellContext`psi], $CellContext`psiInit = {
        "GWP", {0., 1}, 9.9, 33., 
         0.14802122290650707`}, $CellContext`plotPotDiag = 
       Graphics[{{}, {{{}, {}, {
             Hue[0.67, 0.6, 0.6], 
             Directive[
              RGBColor[0.24720000000000014`, 0.24, 0.6], 
              Thickness[Large]], 
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              "]]}}}, {}}, {
         PlotRange -> {All, {-0.13, 0.22}}, AxesLabel -> {None, None}, 
          AspectRatio -> GoldenRatio^(-1), Axes -> True, 
          AxesOrigin -> {6., 0.}, ImageSize -> Medium, Method -> {}, 
          PlotRange -> {All, All}, PlotRangeClipping -> True, 
          PlotRangePadding -> {Automatic, Automatic}}], $CellContext`calc[] := 
       Module[{}, 
         If[Floor[
            FE`NStep$$1057] > $CellContext`saveLimit, $CellContext`saveFreq = 
           Floor[Floor[
              FE`NStep$$1057]/$CellContext`saveLimit], $CellContext`saveFreq = 
           1]; {$CellContext`psiSave, $CellContext`pop, $CellContext`avPosS1, \
$CellContext`avPosS2} = $CellContext`propagation[FE`\[CapitalDelta]t$$1057, 
            Floor[FE`NStep$$1057], $CellContext`mass, {
            FE`n$$1057, FE`Qmin$$1057, FE`Qmax$$1057}, {
            "GWP", {1. - FE`popS2$$1057, FE`popS2$$1057}, FE`Q0$$1057, 
             FE`P0$$1057, 
             FE`\[Sigma]\[Psi]$$1057}, $CellContext`potOpt, \
$CellContext`gridLimit, $CellContext`saveFreq, FE`Pulse$$1057, {
            "gaussian_envelope", {
             FE`Amplitude$$1057, FE`Amplitude$$1057, FE`Amplitude$$1057}, 
             FE`\[Omega]$$1057, FE`\[Sigma]$$1057, 
             FE`t0$$1057}, $CellContext`dipolInfo]; $CellContext`dt = 
          FE`\[CapitalDelta]t$$1057; $CellContext`nStep = 
          Floor[FE`NStep$$1057]; $CellContext`gridInfo = {
           FE`n$$1057, FE`Qmin$$1057, FE`Qmax$$1057}; $CellContext`psiInit = {
           "GWP", {1. - FE`popS2$$1057, FE`popS2$$1057}, FE`Q0$$1057, 
            FE`P0$$1057, FE`\[Sigma]\[Psi]$$1057}; $CellContext`pulseInfo = {
           "gaussian_envelope", {
            FE`Amplitude$$1057, FE`Amplitude$$1057, FE`Amplitude$$1057}, 
            FE`\[Omega]$$1057, FE`\[Sigma]$$1057, 
            FE`t0$$1057}; $CellContext`timeDep = 
          FE`Pulse$$1057; $CellContext`rangePot = {
           All, {FE`yMinPlot$$1057, FE`yMaxPlot$$1057}}; Null], 
       FE`NStep$$1057 = 1800, $CellContext`saveLimit = 
       300, $CellContext`saveFreq = 6, $CellContext`propagation[
         Pattern[$CellContext`dt, 
          Blank[]], 
         Pattern[$CellContext`nStep, 
          Blank[]], 
         Pattern[$CellContext`mass, 
          Blank[]], 
         Pattern[$CellContext`gridInfo, 
          Blank[]], 
         Pattern[$CellContext`psiInfo, 
          Blank[]], 
         Pattern[$CellContext`potentialInfo, 
          Blank[]], 
         Optional[
          Pattern[$CellContext`timeDep, 
           Blank[]], False], 
         Optional[
          Pattern[$CellContext`pulseInfo, 
           Blank[]], "not_set"], 
         Optional[
          Pattern[$CellContext`dipoleInfo, 
           Blank[]], "not_set"]] := 
       Module[{$CellContext`nSurf = 
          2, $CellContext`psi, $CellContext`qmProp, $CellContext`t, \
$CellContext`gridSize = 
          Part[$CellContext`gridInfo, 
            1], $CellContext`uv, $CellContext`uk, $CellContext`grid, \
$CellContext`pgrid, $CellContext`M1, $CellContext`M2, $CellContext`fq, \
$CellContext`fp, $CellContext`dq, $CellContext`potential, \
$CellContext`corrSurface, $CellContext`muEO, $CellContext`uvF, \
$CellContext`avPos, $CellContext`pre = $MachinePrecision, $CellContext`i, \
$CellContext`savePre = 6, $CellContext`saveGridFreq = 
          1}, {$CellContext`grid, $CellContext`pgrid, $CellContext`M1, \
$CellContext`M2, $CellContext`fq, $CellContext`fp, $CellContext`dq} = \
$CellContext`InitGrid[$CellContext`gridInfo]; 
         If[$CellContext`gridSize > $CellContext`gridLimit, \
$CellContext`saveGridFreq = 
           Floor[$CellContext`gridSize]/$CellContext`gridLimit]; \
$CellContext`psi = $CellContext`initPsi[$CellContext`psiInfo, \
$CellContext`grid]; $CellContext`potential = 
          Map[$CellContext`potentialE[$CellContext`potentialInfo, #]& , \
$CellContext`grid]; $CellContext`uk = Map[DiagonalMatrix[
             ConstantArray[
              
              Exp[((-I) $CellContext`dt) (#^2/(
                
                2. $CellContext`mass))], $CellContext`nSurf]]& , \
$CellContext`pgrid]; $CellContext`uv = 
          Map[MatrixExp[(((-I) $CellContext`dt) 
              0.5) #]& , $CellContext`potential]; 
         If[$CellContext`timeDep, $CellContext`muEO = -Dot[
               Part[$CellContext`dipoleInfo, 2], 
               Part[$CellContext`pulseInfo, 2]]; Null]; $CellContext`uvF[
            Pattern[$CellContext`t, 
             Blank[]]] := Map[MatrixExp[(((-I) $CellContext`dt) 0.5) #]& , 
            
            N[$CellContext`potential + 
             ConstantArray[$CellContext`muEO \
$CellContext`gaussPulseShapeF[$CellContext`pulseInfo, $CellContext`t], \
$CellContext`gridSize]]]; $CellContext`corrSurface[
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Map[Total[($CellContext`dq 
              Conjugate[#]) #]& , $CellContext`psi]; $CellContext`qmProp[
            Pattern[$CellContext`matProp, 
             Blank[]], 
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Module[{$CellContext`psiProp = 
             ConstantArray[
              0. + I 0., {$CellContext`nSurf, $CellContext`gridSize}], \
$CellContext`j, $CellContext`k}, Do[
              Do[
               AddTo[
                Part[$CellContext`psiProp, $CellContext`k], 
                Part[$CellContext`matProp, 
                  All, $CellContext`k, $CellContext`j] 
                Part[$CellContext`psi, $CellContext`j]], {$CellContext`j, \
$CellContext`nSurf}], {$CellContext`k, $CellContext`nSurf}]; \
$CellContext`psiProp]; $CellContext`avPos[
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Re[Total[(
               Conjugate[$CellContext`psi] $CellContext`grid) \
$CellContext`psi] ($CellContext`dq/(
             Total[Conjugate[$CellContext`psi] $CellContext`psi] \
$CellContext`dq + 10^(-8)))]; $CellContext`avPosS1 = ConstantArray[
            SetPrecision[-1., $CellContext`savePre], $CellContext`nStep + 
            1]; $CellContext`avPosS2 = ConstantArray[
            SetPrecision[-1., $CellContext`savePre], $CellContext`nStep + 
            1]; $CellContext`pop = ConstantArray[
            SetPrecision[Re[
               $CellContext`corrSurface[$CellContext`psi]] 
             0., $CellContext`savePre], $CellContext`nStep + 
            1]; $CellContext`psiSave = ConstantArray[
            SetPrecision[Re[
               Part[$CellContext`psi, All, 
                Span[1, All, $CellContext`saveGridFreq]]] 
             0., $CellContext`savePre], 
            Floor[$CellContext`nStep/$CellContext`saveFreq] + 1]; 
         Part[$CellContext`pop, 1] = SetPrecision[
            Re[
             $CellContext`corrSurface[$CellContext`psi]], \
$CellContext`savePre]; Part[$CellContext`psiSave, 1] = SetPrecision[
            Re[Conjugate[
               Part[$CellContext`psi, All, 
                Span[1, All, $CellContext`saveGridFreq]]] 
             Part[$CellContext`psi, All, 
               Span[
               1, All, $CellContext`saveGridFreq]]], $CellContext`savePre]; 
         Part[$CellContext`avPosS1, 1] = SetPrecision[
            $CellContext`avPos[
             Part[$CellContext`psi, 1]], $CellContext`savePre]; 
         Part[$CellContext`avPosS2, 1] = SetPrecision[
            $CellContext`avPos[
             Part[$CellContext`psi, 2]], $CellContext`savePre]; 
         Do[$CellContext`t = $CellContext`i $CellContext`dt; 
           If[$CellContext`timeDep, $CellContext`uv = \
$CellContext`uvF[$CellContext`t]; 
             Null]; $CellContext`psi = $CellContext`qmProp[$CellContext`uv, \
$CellContext`psi]; $CellContext`psi = 
            Map[(InverseFourier[# Conjugate[$CellContext`M1]] 
               Conjugate[$CellContext`M2]) $CellContext`fq& , \
$CellContext`psi]; $CellContext`psi = $CellContext`qmProp[$CellContext`uk, \
$CellContext`psi]; $CellContext`psi = 
            Map[(Fourier[# $CellContext`M2] $CellContext`M1) $CellContext`fp& \
, $CellContext`psi]; 
           If[$CellContext`timeDep, $CellContext`uv = \
$CellContext`uvF[$CellContext`t + $CellContext`dt]]; $CellContext`psi = \
$CellContext`qmProp[$CellContext`uv, $CellContext`psi]; 
           If[Mod[$CellContext`i, $CellContext`saveFreq] == 0, 
             Part[$CellContext`psiSave, 
                Floor[$CellContext`i/$CellContext`saveFreq] + 1] = 
              SetPrecision[
                Re[Conjugate[
                   Part[$CellContext`psi, All, 
                    Span[1, All, $CellContext`saveGridFreq]]] 
                 Part[$CellContext`psi, All, 
                   Span[
                   1, All, $CellContext`saveGridFreq]]], \
$CellContext`savePre]; Null]; 
           Part[$CellContext`pop, $CellContext`i + 1] = SetPrecision[
              Re[
               $CellContext`corrSurface[$CellContext`psi]], \
$CellContext`savePre]; 
           Part[$CellContext`avPosS1, $CellContext`i + 1] = SetPrecision[
              $CellContext`avPos[
               Part[$CellContext`psi, 1]], $CellContext`savePre]; 
           Part[$CellContext`avPosS2, $CellContext`i + 1] = SetPrecision[
              $CellContext`avPos[
               Part[$CellContext`psi, 2]], $CellContext`savePre]; 
           Null, {$CellContext`i, $CellContext`nStep}]; 
         Null], $CellContext`propagation[
         Pattern[$CellContext`dt, 
          Blank[]], 
         Pattern[$CellContext`nStep, 
          Blank[]], 
         Pattern[$CellContext`mass, 
          Blank[]], 
         Pattern[$CellContext`gridInfo, 
          Blank[]], 
         Pattern[$CellContext`psiInfo, 
          Blank[]], 
         Pattern[$CellContext`potentialInfo, 
          Blank[]], 
         Pattern[$CellContext`gridLimit, 
          Blank[]], 
         Pattern[$CellContext`saveFreq, 
          Blank[]], 
         Optional[
          Pattern[$CellContext`timeDep, 
           Blank[]], False], 
         Optional[
          Pattern[$CellContext`pulseInfo, 
           Blank[]], "not_set"], 
         Optional[
          Pattern[$CellContext`dipoleInfo, 
           Blank[]], "not_set"]] := 
       Module[{$CellContext`nSurf = 
          2, $CellContext`psi, $CellContext`qmProp, $CellContext`t, \
$CellContext`gridSize = 
          Part[$CellContext`gridInfo, 
            1], $CellContext`uv, $CellContext`uk, $CellContext`grid, \
$CellContext`pgrid, $CellContext`M1, $CellContext`M2, $CellContext`fq, \
$CellContext`fp, $CellContext`dq, $CellContext`potential, \
$CellContext`corrSurface, $CellContext`muEO, $CellContext`uvF, \
$CellContext`avPos, $CellContext`i, $CellContext`saveGridFreq = 
          1, $CellContext`psiSave, $CellContext`pop, $CellContext`avPosS1, \
$CellContext`avPosS2}, {$CellContext`grid, $CellContext`pgrid, \
$CellContext`M1, $CellContext`M2, $CellContext`fq, $CellContext`fp, \
$CellContext`dq} = $CellContext`InitGrid[$CellContext`gridInfo]; 
         If[$CellContext`gridSize > $CellContext`gridLimit, \
$CellContext`saveGridFreq = 
           Floor[$CellContext`gridSize]/$CellContext`gridLimit]; \
$CellContext`psi = $CellContext`initPsi[$CellContext`psiInfo, \
$CellContext`grid]; $CellContext`potential = 
          Map[$CellContext`potentialE[$CellContext`potentialInfo, #]& , \
$CellContext`grid]; $CellContext`uk = Map[DiagonalMatrix[
             ConstantArray[
              
              Exp[((-I) $CellContext`dt) (#^2/(
                2. $CellContext`mass))], $CellContext`nSurf]]& , \
$CellContext`pgrid]; $CellContext`uv = 
          Map[MatrixExp[(((-I) $CellContext`dt) 
              0.5) #]& , $CellContext`potential]; 
         If[$CellContext`timeDep, $CellContext`muEO = -Dot[
               Part[$CellContext`dipoleInfo, 2], 
               Part[$CellContext`pulseInfo, 2]]; Null]; $CellContext`uvF[
            Pattern[$CellContext`t, 
             Blank[]]] := Map[MatrixExp[(((-I) $CellContext`dt) 0.5) #]& , 
            
            N[$CellContext`potential + 
             ConstantArray[$CellContext`muEO \
$CellContext`gaussPulseShapeF[$CellContext`pulseInfo, $CellContext`t], \
$CellContext`gridSize]]]; $CellContext`corrSurface[
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Map[Total[($CellContext`dq 
              Conjugate[#]) #]& , $CellContext`psi]; $CellContext`qmProp[
            Pattern[$CellContext`matProp, 
             Blank[]], 
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Module[{$CellContext`psiProp = 
             ConstantArray[
              0. + I 0., {$CellContext`nSurf, $CellContext`gridSize}], \
$CellContext`j, $CellContext`k}, Do[
              Do[
               AddTo[
                Part[$CellContext`psiProp, $CellContext`k], 
                Part[$CellContext`matProp, 
                  All, $CellContext`k, $CellContext`j] 
                Part[$CellContext`psi, $CellContext`j]], {$CellContext`j, \
$CellContext`nSurf}], {$CellContext`k, $CellContext`nSurf}]; \
$CellContext`psiProp]; $CellContext`avPos[
            Pattern[$CellContext`psi, 
             Blank[]]] := 
          Re[Total[(
               Conjugate[$CellContext`psi] $CellContext`grid) \
$CellContext`psi] ($CellContext`dq/(
             Total[Conjugate[$CellContext`psi] $CellContext`psi] \
$CellContext`dq + 10^(-8)))]; $CellContext`avPosS1 = 
          ConstantArray[-1., $CellContext`nStep + 1]; $CellContext`avPosS2 = 
          ConstantArray[-1., $CellContext`nStep + 1]; $CellContext`pop = 
          ConstantArray[
            N[Re[
               $CellContext`corrSurface[$CellContext`psi]] 
             0.], $CellContext`nStep + 1]; $CellContext`psiSave = 
          ConstantArray[Re[
              Part[$CellContext`psi, All, 
               Span[1, All, $CellContext`saveGridFreq]]] 0., 
            Floor[$CellContext`nStep/$CellContext`saveFreq] + 1]; 
         Part[$CellContext`pop, 1] = N[
            Re[
             $CellContext`corrSurface[$CellContext`psi]]]; 
         Part[$CellContext`psiSave, 1] = N[
            Re[Conjugate[
               Part[$CellContext`psi, All, 
                Span[1, All, $CellContext`saveGridFreq]]] 
             Part[$CellContext`psi, All, 
               Span[1, All, $CellContext`saveGridFreq]]]]; 
         Part[$CellContext`avPosS1, 1] = N[
            $CellContext`avPos[
             Part[$CellContext`psi, 1]]]; Part[$CellContext`avPosS2, 1] = N[
            $CellContext`avPos[
             Part[$CellContext`psi, 2]]]; 
         Do[$CellContext`t = $CellContext`i $CellContext`dt; 
           If[$CellContext`timeDep, $CellContext`uv = \
$CellContext`uvF[$CellContext`t]; 
             Null]; $CellContext`psi = $CellContext`qmProp[$CellContext`uv, \
$CellContext`psi]; $CellContext`psi = 
            Map[(InverseFourier[# Conjugate[$CellContext`M1]] 
               Conjugate[$CellContext`M2]) $CellContext`fq& , \
$CellContext`psi]; $CellContext`psi = $CellContext`qmProp[$CellContext`uk, \
$CellContext`psi]; $CellContext`psi = 
            Map[(Fourier[# $CellContext`M2] $CellContext`M1) $CellContext`fp& \
, $CellContext`psi]; 
           If[$CellContext`timeDep, $CellContext`uv = \
$CellContext`uvF[$CellContext`t + $CellContext`dt]]; $CellContext`psi = \
$CellContext`qmProp[$CellContext`uv, $CellContext`psi]; 
           If[Mod[$CellContext`i, $CellContext`saveFreq] == 0, 
             Part[$CellContext`psiSave, 
                Floor[$CellContext`i/$CellContext`saveFreq] + 1] = N[
                Re[Conjugate[
                   Part[$CellContext`psi, All, 
                    Span[1, All, $CellContext`saveGridFreq]]] 
                 Part[$CellContext`psi, All, 
                   Span[1, All, $CellContext`saveGridFreq]]]]; Null]; 
           Part[$CellContext`pop, $CellContext`i + 1] = N[
              Re[
               $CellContext`corrSurface[$CellContext`psi]]]; 
           Part[$CellContext`avPosS1, $CellContext`i + 1] = N[
              $CellContext`avPos[
               Part[$CellContext`psi, 1]]]; 
           Part[$CellContext`avPosS2, $CellContext`i + 1] = N[
              $CellContext`avPos[
               Part[$CellContext`psi, 2]]]; 
           Null, {$CellContext`i, $CellContext`nStep}]; \
{$CellContext`psiSave, $CellContext`pop, $CellContext`avPosS1, \
$CellContext`avPosS2}], $CellContext`dt = 13, $CellContext`nStep = 
       1800, $CellContext`mass = 
       35480.25, $CellContext`gridInfo = {512, 6, 25}, $CellContext`timeDep = 
       False, $CellContext`pulseInfo = {
        "gaussian_envelope", {0., 0., 0.}, 0.1397, 413, 
         1120}, $CellContext`InitGrid[
         Pattern[$CellContext`gridInfo, 
          Blank[]]] := 
       Module[{$CellContext`n = 
          Part[$CellContext`gridInfo, 1], $CellContext`qmin = 
          Part[$CellContext`gridInfo, 2], $CellContext`qmax = 
          Part[$CellContext`gridInfo, 
            3], $CellContext`dq, $CellContext`dp, $CellContext`prange, \
$CellContext`qgrid, $CellContext`pgrid, $CellContext`pmin, $CellContext`pmax, \
$CellContext`M1, $CellContext`M2, $CellContext`fq, $CellContext`fp}, \
$CellContext`dq = ($CellContext`qmax - $CellContext`qmin)/$CellContext`n; \
$CellContext`prange = 
          2. (Pi/$CellContext`dq); $CellContext`dp = \
$CellContext`prange/$CellContext`n; $CellContext`pmin = -($CellContext`prange/
            2.); $CellContext`pmax = $CellContext`prange/
           2.; $CellContext`qgrid = N[
            
            Range[$CellContext`qmin, $CellContext`qmax - $CellContext`dq, \
$CellContext`dq]]; $CellContext`pgrid = N[
            
            Range[$CellContext`pmin, $CellContext`pmax - $CellContext`dp, \
$CellContext`dp]]; $CellContext`M1 = 
          Exp[(I $CellContext`pmin) ($CellContext`qgrid - $CellContext`qmin)]; \
$CellContext`M2 = 
          Exp[(I $CellContext`qmin) ($CellContext`pgrid - $CellContext`pmin)]; \
$CellContext`fq = 
          Sqrt[$CellContext`n] ($CellContext`dq/Sqrt[2. Pi]); $CellContext`fp = 
          Sqrt[$CellContext`n] ($CellContext`dp/Sqrt[
            2. Pi]); {$CellContext`qgrid, $CellContext`pgrid, \
$CellContext`M1, $CellContext`M2, $CellContext`fq, $CellContext`fp, \
$CellContext`dq}], $CellContext`gridLimit = 256, FE`\[CapitalDelta]t$$1057 = 
       13, FE`n$$1057 = 512, FE`Qmin$$1057 = 6, FE`Qmax$$1057 = 25, 
       FE`popS2$$1057 = 1, FE`Q0$$1057 = 9.9, FE`P0$$1057 = 33., 
       FE`\[Sigma]\[Psi]$$1057 = 0.14802122290650707`, FE`Pulse$$1057 = False,
        FE`Amplitude$$1057 = 0., FE`\[Omega]$$1057 = 0.1397, 
       FE`\[Sigma]$$1057 = 413, FE`t0$$1057 = 
       1120, $CellContext`dipolInfo = {
        "Condon", {{{0., 0., 0.}, {0.1, 0.1, 0.1}}, {{0.1, 0.1, 0.1}, {0., 0.,
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            Transpose[{$CellContext`time$, $CellContext`pulseM}], PlotRange -> 
            All, PlotStyle -> {
              ColorData["WebSafe"]["#CC0000"]}, AxesLabel -> {
              StringJoin["Time ", $CellContext`timeUnit$], "Pulse shape"}], 
           Graphics[{
             PointSize[Large], Black, 
             
             Point[{($CellContext`step$$ $CellContext`dtM) \
$CellContext`tPlot$$, 
               
               Part[$CellContext`pulseM, $CellContext`step$$ + 
                1]}]}]]; $CellContext`plotMol$ = $CellContext`plotMolecule[(
             Part[$CellContext`avPosS1M, $CellContext`step$$ + 
               1] $CellContext`BOHR2ANG) $CellContext`molPlotScale$ + \
$CellContext`shiftQ, (
             Part[$CellContext`avPosS2M, $CellContext`step$$ + 
               1] $CellContext`BOHR2ANG) $CellContext`molPlotScale$ + \
$CellContext`shiftQ, 
           Part[$CellContext`popM, $CellContext`step$$ + 1, 1]]; 
        GraphicsGrid[{{$CellContext`plotPot$, $CellContext`plotMol$}, \
{$CellContext`plotPulse$, $CellContext`plotPop$}}, ImageSize -> Large]], 
      "Specifications" :> {
        Button["Load Calculation", 
         $CellContext`load[]], {{$CellContext`scale$$, 0.03, "\[Psi] scale"}, 
         0.01, 1, ControlPlacement -> 
         1}, {{$CellContext`tPlot$$, 1, "Show time in [fs] "}, {1, 0.0241888},
          ControlType -> Checkbox, ControlPlacement -> 
         2}, {{$CellContext`stepMax$$, 600, "nSteps"}, 600, Appearance -> 
         "Frameless", ControlPlacement -> 3}, 
        OpenerView[{"Options", 
          Column[{
            Manipulate`Place[1], 
            Manipulate`Place[2], 
            Manipulate`Place[3]}]}], Delimiter, 
        Style[
        "Animation control:", Bold], {{$CellContext`step$$, 0, "Step"}, 0, 
         Dynamic[$CellContext`stepMax$$], 1, Appearance -> "Open"}}, 
      "Options" :> {}, "DefaultOptions" :> {}],
     ImageSizeCache->{621., {298., 303.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    Initialization:>({$CellContext`load[] := 
       Module[{}, FE`step$$1134 = 0; 
         If[$CellContext`newCalc, 
           FE`stepMax$$1134 = $CellContext`nStep; $CellContext`loadVarM[]]; 
         Null], FE`step$$1134 = 0, $CellContext`newCalc = False, 
       FE`stepMax$$1134 = 600, $CellContext`nStep = 
       600, $CellContext`loadVarM[] := 
       Module[{}, $CellContext`newLoadM = True; $CellContext`newCalc = 
          False; $CellContext`nStepM = $CellContext`nStep; \
$CellContext`pulseInfoM = $CellContext`pulseInfo; $CellContext`gridInfoM = \
$CellContext`gridInfo; 
         If[Part[$CellContext`gridInfoM, 1] > $CellContext`gridLimit, 
           Part[$CellContext`gridInfoM, 
             1] = $CellContext`gridLimit]; $CellContext`timeDepM = \
$CellContext`timeDep; $CellContext`potOptM = $CellContext`potOpt; \
$CellContext`dtM = $CellContext`dt; $CellContext`saveFreqM = \
$CellContext`saveFreq; $CellContext`psiSaveM = $CellContext`psiSave; 
         Clear[$CellContext`psiSave]; $CellContext`popM = $CellContext`pop; 
         Clear[$CellContext`pop]; $CellContext`avPosS1M = \
$CellContext`avPosS1; 
         Clear[$CellContext`avPosS1]; $CellContext`avPosS2M = \
$CellContext`avPosS2; 
         Clear[$CellContext`avPosS2]; $CellContext`rangePotM = \
$CellContext`rangePot; Null], $CellContext`newLoadM = 
       True, $CellContext`nStepM = 
       600, $CellContext`pulseInfoM = {
        "gaussian_envelope", {0.01, 0.01, 0.01}, 0.142403, 71., 
         500}, $CellContext`pulseInfo = {
        "gaussian_envelope", {0.01, 0.01, 0.01}, 0.142403, 71., 
         500}, $CellContext`gridInfoM = {128, 3, 8}, $CellContext`gridInfo = {
        128, 3, 8}, $CellContext`gridLimit = 256, $CellContext`timeDepM = 
       True, $CellContext`timeDep = 
       True, $CellContext`potOptM = {"NaI"}, $CellContext`potOpt = {
        "NaI"}, $CellContext`dtM = 4.5, $CellContext`dt = 
       4.5, $CellContext`saveFreqM = 2, $CellContext`saveFreq = 
       2, $CellContext`psiSaveM = CompressedData["
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954589770191003*^-120, 
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954589770191003*^-120, 
         5.5445350326199457411757607323011292915305768088681136`15.\
954589770191003*^-121, \
-1.514087231886828099914227670848568270760701184691256`15.954589770191003*^-\
122, -3.338195088668363199773215269064628043068610017804756`15.\
954589770191003*^-122, \
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122, -2.3300448536977878831108382337796359920682894972101`15.954589770191003*^\
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         1.60546228700822448250858790529644520526982048130641754`15.\
954589770191003*^-139, 
         2.4143321512011771612595461154483938389477416280690763`15.\
954589770191003*^-140, 
         1.288279715763947244077563485912121015687093963016855`15.\
954589770191003*^-141, \
-5.52030632571424462992630702982240596116709262454964`15.954589770191003*^-\
142, -2.26794721359523531256394383265183404589873396642137`15.954589770191003*\
^-142, -5.0237122072523035049600691191705104510873688682351`15.\
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954589770191003*^-160, 
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954589770191003*^-179, \
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954589770191003*^-182, 
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954589770191003*^-183, 
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954589770191003*^-183, 
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954589770191003*^-198, 
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954589770191003*^-199, 
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954589770191003*^-200, 
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954589770191003*^-201, \
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, $CellContext`gaussPulseShapeF[
         Pattern[$CellContext`timeDepPotOpt, 
          Blank[]], 
         Pattern[$CellContext`t, 
          Blank[]]] := 
       SetPrecision[
        Cos[Part[$CellContext`timeDepPotOpt, 3] $CellContext`t] 
         Exp[-(($CellContext`t - Part[$CellContext`timeDepPotOpt, 5])^2/(2 
            Part[$CellContext`timeDepPotOpt, 
               4]^2))], $MachinePrecision], $CellContext`gridM = \
CompressedData["
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XdLHBjc0V/RxweCaPk6otRhiiiV2OKO6EX2MscAGR9zQveUfZlhhjws6d/zG
BC22OOGO3r0YYY41DriifhBDTLHEDmdUj6KPMRbY4Igbuk+iwQwr7HFBxxUD
TNBiixPu6D2LEeZY44Ar6hcxxBRL7HBG9Sr6GGOBDY64ofsmGsywwh4XdN7F
ABO02OKEO3ofYoQ51jjgivoghphiiR3OB/MHzvRqdg==
        
        "], $CellContext`potentialM = {{{
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^-12}, {5.179436919696848797079936835432929830361215018`15.954589770191003*^-\
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^-12}, {6.034446457353018057715919311763210267605950232`15.954589770191003*^-\
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954589770191003, 
           0.00006530298423133443295584416032895092030230443924665451`15.\
954589770191003}}, \
{{-0.05542193739828800425062382828400586732`15.954589770191003, 
           0.00001120052020120288521396433034649220417122705839574337`15.\
954589770191003}, {
          0.00001120052020120288521396433034649220417122705839574337`15.\
954589770191003, 
           0.000060021320750289027163605626302711470998474396765232086`15.\
954589770191003}}, \
{{-0.05471733961699004611389796082221437246`15.954589770191003, 
           0.000012111025420965626934522753332945654847208061255514622`15.\
954589770191003}, {
          0.000012111025420965626934522753332945654847208061255514622`15.\
954589770191003, 
           0.000055166834824073083902700592728862716285220813006162643`15.\
954589770191003}}}, $CellContext`potentialE[
         Pattern[$CellContext`potOpt, 
          Blank[]], 
         Pattern[$CellContext`qPoint, 
          Blank[]]] := Module[{$CellContext`pot}, Switch[
           Part[$CellContext`potOpt, 1], 
           "vibCouplingFirst", $CellContext`pot = SetPrecision[
              Array[$CellContext`potIndexVibCouplingFirst[$CellContext`qPoint, 
                Part[$CellContext`potOpt, 2], 
                Part[$CellContext`potOpt, 3], 
                Part[$CellContext`potOpt, 4], 
                Part[$CellContext`potOpt, 5], {
                 SlotSequence[1]}]& , {2, 2}], $MachinePrecision]; Null, 
           "NaI", $CellContext`pot = \
$CellContext`potentialNaI[$CellContext`qPoint]; 
           Null]; $CellContext`pot], $CellContext`potIndexVibCouplingFirst[
         Pattern[$CellContext`q, 
          Blank[]], 
         Pattern[$CellContext`verticalE, 
          Blank[]], 
         Pattern[$CellContext`freq, 
          Blank[]], 
         Pattern[$CellContext`vibCorr1st, 
          Blank[]], 
         Pattern[$CellContext`surfCouplings1st, 
          Blank[]], 
         Pattern[$CellContext`matIndex, 
          Blank[]]] := 
       Module[{$CellContext`i = 
          Part[$CellContext`matIndex, 1], $CellContext`j = 
          Part[$CellContext`matIndex, 
            2], $CellContext`cI, $CellContext`n, $CellContext`V, \
$CellContext`nSurf = 2}, 
         Which[$CellContext`i == $CellContext`j, $CellContext`V = 
           Part[$CellContext`verticalE, $CellContext`i] + 
            Total[($CellContext`freq/2.) $CellContext`q^2] + 
            Total[Part[$CellContext`vibCorr1st, $CellContext`i] \
$CellContext`q], $CellContext`j > $CellContext`i, $CellContext`cI = 
            Sum[$CellContext`nSurf - $CellContext`n, {$CellContext`n, 
                1, $CellContext`i - 
                1}] + ($CellContext`j - $CellContext`i); $CellContext`V = 
            Total[Part[$CellContext`surfCouplings1st, $CellContext`cI] \
$CellContext`q], $CellContext`j < $CellContext`i, $CellContext`cI = 
            Sum[$CellContext`nSurf - $CellContext`n, {$CellContext`n, 
                1, $CellContext`j - 
                1}] + ($CellContext`i - $CellContext`j); $CellContext`V = 
            Conjugate[
              Total[
              Part[$CellContext`surfCouplings1st, $CellContext`cI] \
$CellContext`q]]]; $CellContext`V], $CellContext`potentialNaI[
         Pattern[$CellContext`q, 
          Blank[]], 
         Optional[
          Pattern[$CellContext`verticalE, 
           Blank[]], 0.0762548], 
         Optional[
          Pattern[$CellContext`q0, 
           Blank[]], 5.04554]] := 
       Module[{$CellContext`maxE = 50., $CellContext`A2 = 
          101.428, $CellContext`b2 = 2.99849, $CellContext`rho = 
          0.659322, $CellContext`l1 = 2.75328, $CellContext`l2 = 
          43.3979, $CellContext`C2 = 18.9107, $CellContext`A1 = 
          0.0298772, $CellContext`b1 = 2.15905, $CellContext`A12 = 
          0.00202121, $CellContext`b12 = 0.19409, $CellContext`qx = 
          13.0957, $CellContext`pot1, $CellContext`pot2, $CellContext`pot12}, \
$CellContext`pot1 = 
          SetPrecision[$CellContext`A1 
            Exp[(-$CellContext`b1) ($CellContext`q - $CellContext`q0)], \
$MachinePrecision]; $CellContext`pot12 = 
          SetPrecision[$CellContext`A12 
            Exp[(-$CellContext`b12) ($CellContext`q - $CellContext`qx)^2], \
$MachinePrecision]; $CellContext`pot2 = 
          SetPrecision[($CellContext`A2 + ($CellContext`b2/$CellContext`q)^8) 
             Exp[-($CellContext`q/$CellContext`rho)] - 
            1/$CellContext`q - ($CellContext`l1 + $CellContext`l2)/(
            2 $CellContext`q^4) - $CellContext`C2/$CellContext`q^6 - (
             2 $CellContext`l1) ($CellContext`l2/$CellContext`q^7) + \
$CellContext`verticalE, $MachinePrecision]; 
         If[$CellContext`pot1 > $CellContext`maxE, $CellContext`pot1 = \
$CellContext`maxE]; 
         If[$CellContext`pot2 > $CellContext`maxE, $CellContext`pot2 = \
$CellContext`maxE]; {{$CellContext`pot2, $CellContext`pot12}, \
{$CellContext`pot12, $CellContext`pot1}}], $CellContext`plotMolecule[
         Pattern[$CellContext`q1, 
          Blank[]], 
         Pattern[$CellContext`q2, 
          Blank[]], 
         Pattern[$CellContext`popS1, 
          Blank[]]] := Show[{
          $CellContext`molPlotFunc[$CellContext`q1, 0, 
           Blue, $CellContext`popS1], 
          $CellContext`molPlotFunc[$CellContext`q2, 2, Red, 
           1 - $CellContext`popS1], 
          $CellContext`popPlotFunc[$CellContext`popS1]}, PlotLabel -> 
         "Molecule's vibration according to the average position \n and the \
population distribution between the two surfaces"], $CellContext`molPlotFunc[
         Pattern[$CellContext`q, 
          Blank[]], 
         Pattern[$CellContext`y, 
          Blank[]], 
         Optional[
          Pattern[$CellContext`Col, 
           Blank[]], 
          RGBColor[0.541176, 0.6, 0.780392]], 
         Optional[
          Pattern[$CellContext`trans, 
           Blank[]], 1]] := Graphics3D[{$CellContext`Col, 
          Opacity[$CellContext`trans], 
          Sphere[{(-$CellContext`q) 0.5, 0, $CellContext`y}, 0.3], 
          Sphere[{$CellContext`q 0.5, 0, $CellContext`y}, 0.3], 
          
          Tube[{{(-$CellContext`q) 0.5, 0, $CellContext`y}, {$CellContext`q 
             0.5, 0, $CellContext`y}}, 0.1]}, Boxed -> False, ImageSize -> 
         Small], $CellContext`popPlotFunc[
         Pattern[$CellContext`S1, 
          Blank[]]] := Graphics3D[{
          Opacity[0.3], Blue, 
          Cylinder[{{0, 0, 0.5}, {0, 0, 0.5 + $CellContext`S1}}, 0.1], Red, 
          
          Cylinder[{{0, 0, 1.5}, {0, 0, 0.5 + $CellContext`S1}}, 
           0.1]}], $CellContext`BOHR2ANG = 0.52917720859, $CellContext`shiftQ = 
       0}; Typeset`initDone$$ = True),
    SynchronousInitialization->True,
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellTags->"CellOpen->False"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Wave packet propagation:", "Item",
 Evaluatable->True],

Cell[CellGroupData[{

Cell["\<\
Second order split operator methods [M. D. Feit, J. A. Fleck, A. Steiger, J. \
Comput. Phys. 47, 412,(1982)].\
\>", "Subitem",
 Evaluatable->True],

Cell["\<\
Second order split operator methods for time dependent potential is used in \
case of an active pulse. [S. A. Chin, C. R. Chen, J. Chem. Phys. 117, 1409, \
(2002)]\
\>", "Subitem",
 Evaluatable->True]
}, Open  ]],

Cell["\<\
NaI potential  [V. Engel and H. Metiu, J. of Chem. Phys. 90, 6116 (1989)]\
\>", "Item",
 Evaluatable->True]
}, Open  ]]
}, Open  ]]
},
WindowSize->{1080, 660},
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CellContext->Notebook,
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