Nodal Surfaces of Degenerate States

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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



— coefficients in the superposition

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.