![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]](http://upload.wikimedia.org/wikipedia/commons/5/56/Guassian_Dispersion.gif)
No higher resolution available.
Guassian_Dispersion.gif (360 × 223 pixels, file size: 351 KB, MIME type: image/gif, looped, 251 frames)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
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_] := frame[t_] := frames = ParallelTable[frame[t], {t, 0, 5, 0.02}]; Export["constant_momentum_wavefunction_in_free_space.gif", frames] |
| Date | |
| Source |
 This diagram was created with Mathematica. |
| Author | Teply |
Licensing
 
|
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.
|
Original upload log
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]]
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:19, 2 February 2014 | | 360 × 223 (351 KB) | <bdi>Uzondi</bdi> | User created page with UploadWizard |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on ar.wikipedia.org
- Usage on es.wikipedia.org
- Usage on eu.wikipedia.org
- Usage on he.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on ru.wikipedia.org
- Usage on vi.wikipedia.org
