File:Travelling Particle Wavepacket.svg

Description	Travelling Particle Wavepacket.svg 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 This vector image was created with Inkscape.
Author	inductiveload
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Public domainPublic domainfalsefalse
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]

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

	Date/Time	Thumbnail	Dimensions	User	Comment
current	01:11, 12 February 2007		625 × 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)

The following page links to this file:

• Werner Heisenberg

The following other wikis use this file:

• Usage on en.labs.wikimedia.org
  • Materials in Electronics/Wave-Particle Duality
• Usage on en.wikibooks.org
  • Materials in Electronics/Wave-Particle Duality