Description2D Wavefunction (1,2) Surface Plot.png	The quantum wavefunction of a particle in a 2D box of dimensions Lx and Ly. The wavenumbers are: nx=1 ny=2
Date	13 February 2007
Source	Own drawing, plotted in MuPAD.
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	See 2D Quantum Wavefunctions for more plots.

Mathematica Code

This code does not require any packages to be loaded.

nx = 1
ny = 2
Plot3D[
  Sin[nx Pi x]Sin[ny Pi y],
  {x, 0, 1}, 
  {y, 0, 1},
  ImageSize -> 2500,
  BoxRatios -> {2, 2, 2},
  AxesLabel -> {x/Subscript[L, x], y/Subscript[L, y], Subscript[ψ, "1,1"]},
  PlotRange -> {-1, 1},
  TextStyle -> {FontSize -> 96}
  ]

MuPAD Code

nx := 1:
ny := 2: 
f := sin(nx*x*PI) * sin(ny*y*PI):

  conts := 16:
  projectionlevel:=-1.5:

colourfunc := zip(RGB::Red, RGB::Yellow,
                  (a, b) -> (f(x,y)+1)/(2)*a
                           -(f(x,y)-1)/(2)*b):

funcplot := plot::Function3d(f(x,y),
                             x = 0..1,
                             y = 0..1,
                             Mesh = [24, 24],
                             Submesh=[8,8],
                             LineColor = RGB::Black.[0.99],
                             LineWidth = 0.2，
                             FillColorFunction = colourfunc,                             
                             AxesTitleFont = ["BKM-cmr17", 20],
                             TicksLabelFont = ["Courier New", 12],                         
                             ViewingBoxZRange = -1.5..1
                            ):

contours := plot::modify(funcplot,
                         ZContours = [Automatic, conts],
                         LineWidth = 0.2,
                         LineColor = RGB::Gray90.[0.5],
                         XLinesVisible = FALSE,
                         YLinesVisible = FALSE,
                         Filled = FALSE
                        ):
                        
projcontours := plot::Transform3d([0, 0, projectionlevel],
                                  [1, 0, 0, 0, 1, 0, 0, 0, 0], 
                                   plot::modify(funcplot, ZContours = [Automatic, conts],
                                                LineWidth = 0.2,
                                                LineColorType = Dichromatic,
                                                LineColor = RGB::Red.[0.99],
                                                LineColor2 = RGB::Yellow.[0.99],
                                                XLinesVisible = FALSE,
                                                YLinesVisible = FALSE,
                                                Filled = FALSE
                                               )
                                  ):
                             
camera := plot::Camera([17, -24, 45],
                       [0.5, 0.4, -0.2],
                       0.038
                      ):
                             
ploteverything := plot::Canvas(funcplot, contours, projcontours,
                               Width = 200*unit::mm, 
                               Height = 150*unit::mm,
                               AxesTitles = ["x/L(x)", "y/L(y)", "z"],                                                              
                               camera
                              ): 
                          
plot(ploteverything)