File:3D Wavefunction (2,1,1).gif

Description

The quantum wavefunction of a particle in a 3D box of dimensions Lx, Ly and Lz. The wavenumbers are:

  • nx=2
  • ny=1
  • nz=1

This plot is arranged as a number of slices parallel to the x-y plane, increasing z.

White represents the highest value of ψ(r), black the lowest and grey zero.
Date
Source Own drawing, plotted in Mathematica.
Author Inductiveload
Permission
(Reusing this file)
Public domain 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.
Category:Self-published work#3D%20Wavefunction%20(2,1,1).gifCategory:PD-self#3D%20Wavefunction%20(2,1,1).gif
Other versions See 3D Quantum Wavefunctions for more plots.

Mathematica Code

This code does not require any packages to be loaded.

nx = 2
ny = 1
nz = 1
Table[
  DensityPlot[
    Sin[nx Pi x]Sin[ny Pi y]Sin[nz Pi w],
    {x, 0, 1}, 
    {y, 0, 1},
    ImageSize -> 300,
    FrameLabel -> {"x/L(x)", "y/L(y)"},
    RotateLabel -> False,
    PlotRange -> {-1, 1},
    PlotLabel -> "Slice height ="
        PaddedForm[w, {2, 2}]
        L(z),
    TextStyle -> {FontSize -> 12}
    ],
  {w, 0, 1, 0.01}]
Category:3D infinite square wells

[]

Category:Animated GIF files
Category:3D infinite square wells Category:Animated GIF files Category:PD-self Category:Self-published work