File:2D Wavefunction (3,3) Density Plot.png

Description2D Wavefunction (3,3) Density Plot.png	The quantum wavefunction of a particle in a 2D box of dimensions Lx and Ly. The wavenumbers are: nx=3 ny=3 White corresponds to a high value, black low values and mid-grey zero.
Date	13 February 2007
Source	Own work   This diagram was created with Mathematica.
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.
Other versions	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 = 3
ny = 3
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", "3,3"],
      TextStyle -> {FontSize -> 18}
      ];