Geometry of nodal sets and domains for eigenfunctions of SchrÜdinger operators

Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturbations of eigenfunctions from multiple eigenspaces and answer the question in the case of the two-sphere. This is used to extend a previously known result about nodal sets of spherical harmonics to eig...

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Bibliographic Details
Main Author: Haldane, Evan.
Format: Others
Language:en
Published: McGill University 2008
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=111578