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- W2950360963 abstract "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 eigenfunctions of Schrodinger operators on the two-sphere. We also review some of the classical and recent results about nodal sets and domains for eigenfunctions of the Laplacian." @default.
- W2950360963 created "2019-06-27" @default.
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- W2950360963 date "2008-01-01" @default.
- W2950360963 modified "2023-09-27" @default.
- W2950360963 title "Geometry of nodal sets and domains for eigenfunctions of SchrÜdinger operators" @default.
- W2950360963 hasPublicationYear "2008" @default.
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