File:2D Wavefunction (2,2) Density Plot.png

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Description

The quantum wavefunction of a particle in a 2D box of dimensions Lx and Ly. The wavenumbers are:

  • nx=2
  • ny=2
White corresponds to a high value, black low values and mid-grey zero.
Date
Source Own work, plotted in Mathematica.
 
This diagram was created with Mathematica by n.
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.
Other versions

smaller version more suited to inclusion in an article.

See 2D Quantum Wavefunctions for more plots.

Mathematica Code

[edit]

This code does not require any packages to be loaded.

nx = 2
ny = 2
plot = DensityPlot[
      Sin[nx Pi x]Sin[ny Pi y],
      {x, 0, 1}, 
      {y, 0, 1},
      ImageSize -> 800,
      PlotPoints -> 50,
      FrameLabel -> {x/Subscript[L, x], y/Subscript[L, y]},
      RotateLabel -> False,
      PlotRange -> {-1, 1},
      PlotLabel -> Subscript["2-Dimensional 
      Quantum Wavefunction in a Square Box: ψ", "1,1"],
      TextStyle -> {FontSize -> 18}
      ];

File history

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Date/TimeThumbnailDimensionsUserComment
current06:41, 13 February 2007Thumbnail for version as of 06:41, 13 February 2007800 × 800 (29 KB)Inductiveload (talk | contribs){{Information |Description=The quantum wavefunction of a particle in a 2D box of dimensions L<sub>x</sub> and L<sub>y</sub>. The wavenumbers are: *''n<sub>x</sub>''=2 *''n<sub>y</sub>''=2 White corresponds to a high value, black low values and mid-grey

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