Descrición2D Wavefunction (2,2) Surface Plot.png	The quantum wavefunction of a particle in a 2D infinite potential well of dimensions Lx and Ly. The wavenumbers are: nx=2 ny=2 The wavefunction, shown as z on the plot, is given by: ${\displaystyle \psi _{n_{x},n_{y}}=\psi _{0}\sin \left({\frac {n_{x}\pi x}{L}}\right)\sin \left({\frac {n_{y}\pi x}{L}}\right)}$
Data	13 de febreiro de 2007
Orixe	Own drawing, plotted in MuPad.
Autoría	Inductiveload
Licenza (Reuso deste ficheiro)	Public domainPublic domainfalsefalse Eu, como posuidor dos dereitos de autor desta obra, libéroa para que pertenza ao dominio público. Isto é válido en todo o mundo. Nalgúns países, isto pode non ser legalmente posible; entón: Concedo a calquera o dereito de empregar esta obra para o propósito que considere oportuno, sen condicións, agás aquelas que sexan requiridas pola lei.
Outras versións	See 2D Quantum Wavefunctions for more plots.

Mathematica Code

This code does not require any packages to be loaded.

nx = 3
ny = 2
Plot3D[
  Sin[nx Pi x]Sin[ny Pi y],
  {x, 0, 1}, 
  {y, 0, 1},
  ImageSize -> '''250''',
  BoxRatios -> {2, 2, 2},
  AxesLabel -> {x/Subscript[2L, x], y/Subscript[L, y], Subscript[ψ, "1,1"]},
  PlotRange -> {-1, 1},
  TextStyle -> {FontSize -> 96}
  ]

MuPAD Code

nx := 2:
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 = 0.15，
                             FillColorFunction = colourfunc,                             
                             AxesTitleFont = ["BKM-cmr17", 20],
                             TicksLabelFont = ["Courier New", 12],                         
                             ViewingBoxZRange = -1.5..1
                            ):

contours := plot::modify(funcplot,
                         ZContours = [Automatic, conts],
                         LineWidth = 0.15,
                         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)