File:Travelling Particle Wavepacket.svg

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Travelling_Particle_Wavepacket.svg(SVG file, nominally 625 × 409 pixels, file size: 147 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Description

The complex wavefunction, Ψ, of a travelling particle with a Gaussian envelope.

Date

12/02/07

Source

Own drawing, plotted in Mathematica, edited in Inkscape

Inkscape logo 2.svg

This vector image was created with Inkscape.

Author

inductiveload

Permission
(Reusing this file)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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Other versions This image shows a wavefunction without a constraining envelope

[edit] Mathematica Code

This figure requires the use of Arrow3D, which is not included in the StandardPackages (as of Feb 2007). This can be obtained from Wolfram Research at this location. The required packages are:

<< Graphics`
<< Arrow3D`Arrow3D`

The code is:

\!\(NormDist[σ_, μ_] = \((1/\((σ \@\( 2  
    π\))\))\)*Exp[\(-\((t - μ)\)\^2\)/\((2  σ\^2)\)]\)

wavefunction=ParametricPlot3D[{t,-Cos[20t]*2NormDist[1,4],2NormDist[1,4]*Sin[20t]},{t,0,7},BoxRatios{4,1,1},ImageSize->500,Boxed->False,
Axes->False,PlotPoints->600,ViewPoint->{3, -2, 1},PlotRange->All]

xaxis=Graphics3D[Arrow3D[{-1,0,0},{8,0,0},HeadSize->UniformSize[.5],HeadColor->Black]]

uaxis=Graphics3D[Arrow3D[{0,-1,0},{0,3,0},HeadSize->UniformSize[.5],HeadColor->Black]]

vaxis=Graphics3D[Arrow3D[{0,0,-1},{0,0,3},HeadSize->UniformSize[.5],HeadColor->Black]]

plane=Graphics3D[Polygon[{{0,1.2,1.2},{0,-1.2,1.2},{0,-1.2,-1.2},{0,1.2,-1.2}}]]

Show[wavefunction,xaxis,uaxis,vaxis,plane]

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current01:11, 12 February 2007Thumbnail for version as of 01:11, 12 February 2007625×409 (147 KB)Inductiveload ({{Information |Description=The complex wavefunction, Ψ, of a travelling particle with a Gaussian envelope. |Source=Own drawing, plotted in Mathematica, edited in Inkscape |Date=12/02/07 |Author=inductiveload |Permission={{PD-self}} |other_versions=[[i)

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