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File:Guassian Dispersion.gif

Guassian_Dispersion.gif (360 × 223 pixels, file size: 351 KB, MIME type: image/gif, looped, 251 frames)

Summary

Description
English: Gaussian wave function allowed to evolve in free space via the Schrödinger equation

generated with Mathematica using the following lines of code: u[x_, t_, x0_, k0_, om_] := 

Exp[-x0^2*k0^2/2]*
 Exp[-(x - I*x0^2*k0)^2/(2*x0^2*(1 + I*om*t))]/
  Sqrt[x0*Sqrt[Pi]*(1 + I*om*t)]

frame[t_] := 

Plot[Abs[u[x, t, 1, 5, 1]]^2, {x, -5, 35}, Axes -> {True, False}, 
 Ticks -> None, PlotRange -> {0, 1/\[Pi]^(1/4)}]

frames = ParallelTable[frame[t], {t, 0, 5, 0.02}];

Export["constant_momentum_wavefunction_in_free_space.gif", frames]
العربية: يُسمح لدالة الموجة الغاوسية بالتطور في الفضاء الحر عبر معادلة شرودنغر التي أنشئت باستخدام ماثيماتيكا باستخدام سطور الكود (الموجودة في الشرح الإنجليزي)
Date
Source
 
This diagram was created with Mathematica.
Author Teply

Licensing

Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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The original description page was here. All following user names refer to en.wikipedia.
  • 2012-05-19 22:32:34 Teply 360×223 (359932 bytes) Uploading a self-made file using [[Wikipedia:File_Upload_Wizard|File Upload Wizard]]

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19 May 2012

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current22:19, 2 February 2014Thumbnail for version as of 22:19, 2 February 2014360 × 223 (351 KB)UzondiUser created page with UploadWizard

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Quelle: http://en.wikipedia.org/wiki/File:Guassian_Dispersion.gif