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File:Position and momentum of a Gaussian initial state for a QHO, narrow.gif

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Position_and_momentum_of_a_Gaussian_initial_state_for_a_QHO,_narrow.gif (360 × 223 pixels, file size: 255 KB, MIME type: image/gif, looped, 63 frames)

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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 frame2[t_] :=

Plot[{probX[x, t, 1, 1, 2, 1, -10], probP[x, t, 1, 1, 2, 1, -10], 
  v[x, 1/200, 1]}, {x, -25, 25}, Axes -> {True, False}, 
 Ticks -> None, PlotRange -> {0, 1.2}]
frames2 = ParallelTable[frame2[t], {t, 0, 2*Pi, 0.1}];
Date
Source made 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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20 May 2012

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Date/TimeThumbnailDimensionsUserComment
current19:57, 20 May 2012Thumbnail for version as of 19:57, 20 May 2012360 × 223 (255 KB)TeplyUploading a self-made file using File Upload Wizard

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