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Fayl:Asymmetricwave2.png

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Asl fayl (1 814 × 1 358 piksel, fayl hajmi: 505 KB, MIME tipi: image/png)

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Taʼrif
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.
Manba

Own work using:

  • See for example: D.J. Griffiths, Introduction to quantum mechanics, Prentice Hall , 1995, section 5.1.1
  • Mathematica 6.0 using the code below
Muallif TimothyRias

Litsenziyalash

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
atribut
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
Siz erkinsiz:
  • ulashishga – ishlanmani nusxalash, tarqatish va uzatish
  • remiks qilishga – ishni moslashtirishga
Quyidagi shartlar asosida:
  • atribut – Siz tegishli litsenziyaga havolani taqdim etishingiz va oʻzgartirishlar kiritilganligini koʻrsatishingiz kerak. Siz buni har qanday oqilona yoʻl bilan qilishingiz mumkin, lekin litsenziar Sizni yoki Sizning foydalanishingizni ma'qullashini taklif qiladigan tarzda emas.

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"]

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b85517ef16909cf0c8966bef713f8c3d46430b67

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Fayl tarixi

Faylning biror paytdagi holatini koʻrish uchun tegishli sana/vaqtga bosingiz.

Sana/VaqtMiniaturaOʻlchamlariFoydalanuvchiIzoh
joriy14:58, 2023-yil 4-aprel14:58, 2023-yil 4-aprel dagi versiya uchun tasvir1 814 × 1 358 (505 KB)JähmefyysikkoHigher resolution image
14:51, 2023-yil 4-aprel14:51, 2023-yil 4-aprel dagi versiya uchun tasvir680 × 510 (141 KB)JähmefyysikkoNew rendering with antialiasing (using the same commands)
13:14, 2008-yil 15-oktyabr13:14, 2008-yil 15-oktyabr dagi versiya uchun tasvir600 × 450 (76 KB)TimothyRias{{Information |Description=Asymmetric (fermion) 2-particle state in a infinite square well potential. |Source= |Date= |Author= |Permission= |other_versions= }}
14:52, 2008-yil 7-oktyabr14:52, 2008-yil 7-oktyabr dagi versiya uchun tasvir360 × 286 (24 KB)TimothyRias{{Information |Description={{en|1=Asymmetric wavefunction}} |Source=Own work by uploader |Author=TimothyRias |Date= |Permission= |other_versions= }} <!--{{ImageUpload|full}}-->

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