File:2D Wavefunction (2,2) Surface Plot.png
Original file (1,575 × 1,181 pixels, file size: 605 KB, MIME type: image/png)
Captions
Description2D Wavefunction (2,2) Surface Plot.png |
The quantum wavefunction of a particle in a 2D infinite potential well of dimensions Lx and Ly. The wavenumbers are:
The wavefunction, shown as z on the plot, is given by: |
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Date | ||||
Source | Own drawing, plotted in MuPad. | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
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Other versions | See 2D Quantum Wavefunctions for more plots. |
Mathematica Code[edit]
This code does not require any packages to be loaded.
nx = 3 ny = 2 Plot3D[ Sin[nx Pi x]Sin[ny Pi y], {x, 0, 1}, {y, 0, 1}, ImageSize -> '''250''', BoxRatios -> {2, 2, 2}, AxesLabel -> {x/Subscript[2L, x], y/Subscript[L, y], Subscript[ψ, "1,1"]}, PlotRange -> {-1, 1}, TextStyle -> {FontSize -> 96} ]
MuPAD Code[edit]
nx := 2: ny := 2: f := sin(nx*x*PI) * sin(ny*y*PI): conts := 16: projectionlevel:=-1.5: colourfunc := zip(RGB::Red, RGB::Yellow, (a, b) -> (f(x,y)+1)/(2)*a -(f(x,y)-1)/(2)*b): funcplot := plot::Function3d(f(x,y), x = 0..1, y = 0..1, Mesh = [24, 24], Submesh=[8,8], LineColor = RGB::Black.[0.99], LineWidth = 0.15, FillColorFunction = colourfunc, AxesTitleFont = ["BKM-cmr17", 20], TicksLabelFont = ["Courier New", 12], ViewingBoxZRange = -1.5..1 ): contours := plot::modify(funcplot, ZContours = [Automatic, conts], LineWidth = 0.15, LineColor = RGB::Gray90.[0.5], XLinesVisible = FALSE, YLinesVisible = FALSE, Filled = FALSE ): projcontours := plot::Transform3d([0, 0, projectionlevel], [1, 0, 0, 0, 1, 0, 0, 0, 0], plot::modify(funcplot, ZContours = [Automatic, conts], LineWidth = 0.2, LineColorType = Dichromatic, LineColor = RGB::Red.[0.99], LineColor2 = RGB::Yellow.[0.99], XLinesVisible = FALSE, YLinesVisible = FALSE, Filled = FALSE ) ): camera := plot::Camera([17, -24, 45], [0.5, 0.4, -0.2], 0.038 ): ploteverything := plot::Canvas(funcplot, contours, projcontours, Width = 200*unit::mm, Height = 150*unit::mm, AxesTitles = ["x/L(x)", "y/L(y)", "z"], camera ): plot(ploteverything)
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:58, 4 August 2007 | 1,575 × 1,181 (605 KB) | Inductiveload (talk | contribs) | ||
01:49, 19 February 2007 | 1,575 × 1,181 (627 KB) | Inductiveload (talk | contribs) | muPAD Plot | ||
04:49, 13 February 2007 | 2,499 × 2,713 (164 KB) | Inductiveload (talk | contribs) | {{Information |Description=The quantum wavefunction of a particle in a 2D box of dimensions L<sub>x</sub> and L<sub>y</sub>. The wavenumbers are: *''n<sub>x</sub>''=2 *''n<sub>y</sub>''=2 |Source=Own drawing, plotted in Mathematica. |Date=13/02/2007 |Au |
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