As 3D-representation and as contour plot, two combinations of the 1s-wavefunctions are depicted.
| Ψ+ ~
(ΦA + ΦB)
Ψ− ~ (ΦA - ΦB) |
| Fig. 1 Positive linear combination:Ψ+ ~ (ΦA + ΦB) | |
a) 3D represention |
b) contour plot |
| Fig. 2 Negative linear combination: Ψ− ~ (ΦA - ΦB) | |
a) 3D represention |
b) contour plot |
| Fig. 3 Probability density for the positive linear combination:Ψ+ ~ (ΦA + ΦB) | |
a) 3D represention |
b) contour plot |
| Fig. 4 Probability density for the negative linear combination:Ψ- ~ (ΦA - ΦB) | |
a) 3D represention |
b) contour plot |
Users of the software Mathematica are able to calculate these functions themselves:
Rgl=2.4;
psiP=Exp[-Sqrt[x^2+y^2]/2]+Exp[-Sqrt[(x-Rgl)^2+y^2]/2]
psiM=Exp[-Sqrt[x^2+y^2]/2]-Exp[-Sqrt[(x-Rgl)^2+y^2]/2]
Plot3D[psiM, {x,-4,6}, {y,-4,4},
PlotPoints -> 50, ImageSize ->500, PlotRange -> All]
Plot3D[psiP, {x,-4,6}, {y,-4,4},
PlotPoints -> 50, ImageSize ->500, PlotRange -> All]
Plot3D[psiP^2, {x,-4,6}, {y,-4,4}, PlotPoints -> 50, ImageSize ->500,
PlotRange -> All]
Plot3D[psiM^2, {x,-4,6}, {y,-4,4}, PlotPoints -> 80>, ImageSize ->500,
PlotRange -> All]
ContourPlot[psiM,{x,-3.5,3.5+Rgl},{y,-3.5,3.5},PlotPoints ->50, ImageSize ->500, Contours -> 15, ContourShading -> False]
ContourPlot[psiP,{x,-3.5,3.5+Rgl},{y,-3.5,3.5},PlotPoints ->50,
ImageSize -> 500, Contours -> 15, ContourShading -> False]
ContourPlot[psiM^2,{x,-3.5,3.5+Rgl},{y,-3.5,3.5},PlotPoints ->50, ImageSize ->500, Contours -> 15, ContourShading -> False, PlotRange -> All]
ContourPlot[psiP^2,{x,-3.5,3.5+Rgl},{y,-3.5,3.5},PlotPoints ->50,
ImageSize -> 500, Contours -> 15, ContourShading -> False, PlotRange ->
All]
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