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



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