File:Asymmetricwave2.png
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Original file (1,814 × 1,358 pixels, file size: 505 KB, MIME type: image/png)
Summary
| Description |
English: Asymmetric wavefunction for a (fermionic) 2-particle state in a one-dimensional square well potential of infinite depth. The 3D graph shows the wavefunction for the 2-particle fermionic first excited state for the square well, with each horizontal axis giving one particle's position. |
| Source |
Own work using:
|
| Author | TimothyRias |
Licensing
I, the copyright holder of this work, hereby publish it under the following licence:
This file is licensed under the Creative Commons Attribution 3.0 Unported licence.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the licence, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Code
&Assumptions = {n \[Element] Integers, m \[Element] Integers};
f[n_, x_] := Sqrt[2] Sin[n \[Pi] x]
a[n_, m_] := Function[{x, y}, (f[n, x] f[m, y] - f[n, y] f[m, x])/Sqrt[2]];
awave2 = Plot3D[Evaluate[a[1, 3][x, y]], {x, 0, 1}, {y, 0, 1},
PlotPoints -> 35,
PlotRange -> {-2.5, 3.5},
MeshFunctions -> {#3 &},
Mesh -> 10,
MeshStyle ->
Directive[ColorData["DeepSeaColors"][.1], Thickness[.002]],
ColorFunction -> "LakeColors",
BoxRatios -> {1, 1, .7},
Boxed -> False,
Axes -> False];
agroundplot = Plot3D[-3, {x, 0, 1}, {y, 0, 1},
MeshFunctions -> {a[1, 3][#1, #2] &},
Mesh -> 10,
MeshStyle ->
Directive[ColorData["DeepSeaColors"][.1], Thickness[.002]],
PlotPoints -> 50,
ColorFunction -> (ColorData["LakeColors"][(a[1, 3][#1, #2] + 2.5)/
6] &)
];
awave3 = Show[{awave2, agroundplot},
PlotRange -> {{0, 1}, {0, 1}, {-3, 3}},
Axes -> None,
PlotRangePadding -> None,
ImagePadding -> 1,
FaceGrids -> {
{{-1, 0, 0}, {Table[i, {i, 0, 1, 1/9}],
Table[i, {i, -3, 3, 1}]}},
{{0, -1, 0}, {Table[i, {i, 0, 1, 1/9}], Table[i, {i, -3, 3, 1}]}}
},
ViewPoint -> 1000 {5, 5, 2},
ViewVertical -> {0, 0, 1},
ViewCenter -> {.5, .5, 0},
ImageSize -> 600]
Export["Asymmetricwave2.png", awave3, "PNG"]
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:28, 4 April 2023 | | 1,814 × 1,358 (505 KB) | wikimediacommons>Jähmefyysikko | Higher resolution image |
File usage
The following 2 pages use this file:
