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2756b2b2c8
phy-520/project/HydrogenAtomRadialFunctions.nb
Adamo 2756b2b2c8 Updated with archived mats.
2020-12-23 16:28:58 -05:00

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Dynamic[
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DynamicBox[Manipulate`ManipulateBoxes[
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Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$,
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Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
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If[$CellContext`L$$ >= $CellContext`n$$, $CellContext`L$$ = \
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Plot[$CellContext`r^2 $CellContext`R[$CellContext`n$$, \
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Part[$CellContext`yrange, $CellContext`n$$]}}, Filling -> Axis,
Ticks -> Part[$CellContext`ticksmat, $CellContext`n$$, 1],
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Style[
Row[{
NumberForm[$CellContext`n$$, 1], $CellContext`label}], 18,
Darker[Blue]],
AxesLabel -> $CellContext`label1]]; $CellContext`av =
Graphics[{Thick, Dashed, Blue,
Line[{{
$CellContext`rav[$CellContext`n$$, $CellContext`L$$], 0}, {
$CellContext`rav[$CellContext`n$$, $CellContext`L$$],
Part[$CellContext`yrange, $CellContext`n$$]}}],
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Style[
Row[{"\[LeftAngleBracket]",
Style["r", Italic],
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If[$CellContext`L$$ < $CellContext`n$$,
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$CellContext`r], {$CellContext`r, 0,
Part[$CellContext`rmax, $CellContext`n$$]}, PlotRange -> All,
Ticks -> Part[$CellContext`ticksmat, $CellContext`n$$, 2],
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Dynamic[
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LaguerreL[$CellContext`n - $CellContext`L - 1, 2 $CellContext`L +
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Pattern[$CellContext`n,
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Pattern[$CellContext`L,
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Factorial[$CellContext`n - 1 - $CellContext`L]/
Factorial[$CellContext`n + $CellContext`L]^3)^
Rational[1, 2]) $CellContext`F[$CellContext`n, $CellContext`L,
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$CellContext`rav[
Pattern[$CellContext`np,
Blank[]],
Pattern[$CellContext`Lp,
Blank[]]] := $CellContext`np^2 (1. +
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1.)/$CellContext`np^2))); $CellContext`a =
1; $CellContext`rmax = {5, 15, 30, 50, 70}; $CellContext`yrange = {
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ConstantArray[0., {5, 2}];
Part[$CellContext`ticksmat, 1, 1] = {{0, 2, 4}, {0.25, 0.5}};
Part[$CellContext`ticksmat, 1, 2] = {{0, 2, 4}, Automatic};
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Part[$CellContext`ticksmat, 3, 2] = {{0, 10, 20}, Automatic};
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Subscript[
Style["R", Italic],
Row[{
Style["n", Italic], ", ",
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Text[
Style[
Row[{
Style["r", Italic], " / ",
Subscript[
Style["a", Italic], 0]}], 18]],
Text[
Style[
Row[{
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Style["R", Italic],
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DynamicBox[Manipulate`ManipulateBoxes[
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If[$CellContext`L$$ >= $CellContext`n$$, $CellContext`L$$ = \
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Ticks -> Part[$CellContext`ticksmat, $CellContext`n$$, 1],
TicksStyle -> Directive[16, Gray], PlotStyle -> Thick, PlotLabel ->
Style[
Row[{
NumberForm[$CellContext`n$$, 1], $CellContext`label}], 18,
Darker[Blue]],
AxesLabel -> $CellContext`label1]]; $CellContext`av =
Graphics[{Thick, Dashed, Blue,
Line[{{
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$CellContext`rav[$CellContext`n$$, $CellContext`L$$],
Part[$CellContext`yrange, $CellContext`n$$]}}],
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Ticks -> Part[$CellContext`ticksmat, $CellContext`n$$, 2],
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Dynamic[
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Pattern[$CellContext`L,
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Pattern[$CellContext`r,
Blank[]]] := (($CellContext`a^((-3)/2) (2/$CellContext`n^2)) (
Factorial[$CellContext`n - 1 - $CellContext`L]/
Factorial[$CellContext`n + $CellContext`L]^3)^
Rational[1, 2]) $CellContext`F[$CellContext`n, $CellContext`L,
2 ($CellContext`r/($CellContext`n $CellContext`a))]; \
$CellContext`rav[
Pattern[$CellContext`np,
Blank[]],
Pattern[$CellContext`Lp,
Blank[]]] := $CellContext`np^2 (1. +
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1.)/$CellContext`np^2))); $CellContext`a =
1; $CellContext`rmax = {5, 15, 30, 50, 70}; $CellContext`yrange = {
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ConstantArray[0., {5, 2}];
Part[$CellContext`ticksmat, 1, 1] = {{0, 2, 4}, {0.25, 0.5}};
Part[$CellContext`ticksmat, 1, 2] = {{0, 2, 4}, Automatic};
Part[$CellContext`ticksmat, 2, 1] = {{0, 6, 12}, {0.05, 0.15}};
Part[$CellContext`ticksmat, 2, 2] = {{0, 6, 12}, Automatic};
Part[$CellContext`ticksmat, 3, 1] = {{0, 10, 20}, {0.05, 0.1}};
Part[$CellContext`ticksmat, 3, 2] = {{0, 10, 20}, Automatic};
Part[$CellContext`ticksmat, 4, 1] = {{0, 20, 40}, {0.03, 0.06}};
Part[$CellContext`ticksmat, 4, 2] = {{0, 20, 40},
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Style["r", Italic], " / ",
Subscript[
Style["a", Italic], 0]}], 18]],
Text[
Style[
Row[{Style["r", Italic]^2, " ",
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Style["R", Italic],
Row[{
Style["n", Italic], ", ",
Style["l", Italic]}]], "(",
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Style[
Row[{
Style["r", Italic], " / ",
Subscript[
Style["a", Italic], 0]}], 18]],
Text[
Style[
Row[{
Subscript[
Style["R", Italic],
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Style["n", Italic], ", ",
Style["l", Italic]}]], "(",
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*)
(* End of internal cache information *)
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