Isospectral potentials on a discrete lattice. III

Kappeler, Thomas

doi:10.1090/S0002-9947-1989-0961624-6

Isospectral potentials on a discrete lattice. III
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Trans. Amer. Math. Soc. 314 (1989), 815-824 Request permission

Abstract:

Continuing prior work of the author, spectral problems for a discretized version of the Schrödinger equation ’Laplacian plus potential’ on the torus are considered. Spectral invariants are constructed and with their help isospectral sets of certain nongeneric potentials are determined.

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Spectral invariants of the Schrödinger operator on the Euclidean torus

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