File:Position and momentum of a Gaussian initial state for a QHO, balanced.gif
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Position_and_momentum_of_a_Gaussian_initial_state_for_a_QHO,_balanced.gif (360 × 223 pixels, file size: 257 KB, MIME type: image/gif, looped, 63 frames)
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Summary
| Description |
English: made with Mathematica using the following commands:
probX[x_, t_, m_, h_, om1_, om2_, x0_] = Sqrt[m om1 om2^2 /(Pi h (om1^2 Sin[om2 t]^2 + om2^2 Cos[om2 t]^2))]*
Exp[-(m om1 om2^2 / h)*(x - x0*Cos[om2 t])^2/(om1^2 Sin[om2 t]^2 +
om2^2 Cos[om2 t]^2)]
probP[p_, t_, m_, h_, om1_, om2_, x0_] = Sqrt[om1/(Pi m h (om1^2 Cos[om2 t]^2 + om2^2 Sin[om2 t]^2))]*
Exp[-(om1/ (m h))*(p + m om1 x0*Sin[om2 t])^2/(om1^2 Cos[om2 t]^2 +
om2^2 Sin[om2 t]^2)]
v[x_, m_, om2_] = m om2^2 x^2/2 frame1[t_] := Plot[{probX[x, t, 1, 1, 1, 1, -10], probP[x, t, 1, 1, 1, 1, -10],
v[x, 1/200, 1]}, {x, -25, 25}, Axes -> {True, False},
Ticks -> None, PlotRange -> {0, 1.2}]
frames1 = ParallelTable[frame1[t], {t, 0, 2*Pi, 0.1}]; |
| Date | 2012-0520 |
| Source | made 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.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:54, 20 May 2012 | | 360 × 223 (257 KB) | Teply | Uploading a self-made file using File Upload Wizard |
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