Nodal Surfaces of Degenerate States

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Nodal surface of a degenerate state in an 3D infinite square potential well. Degenerate solutions of an eigenvalue problem are linearly independent solutions to the same eigenvalue. For the Helmholtz equation within a cubical box with homogeneous Dirichlet boundary conditions, most states have sixfold degeneracy. This Demonstration allows the exploration of the space of possible nodal surfaces for a low‐lying state. The nodal surface is the eigenfunction zero locus.
Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA
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— coefficients in the superposition
Permanent Citation
"Nodal Surfaces of Degenerate States"
http://demonstrations.wolfram.com/NodalSurfacesOfDegenerateStates/
Wolfram Demonstrations Project
Published: March 7 2011