On isospectral potentials on a discrete lattice. II

DOI10.1016/0196-8858(88)90021-8zbMath0675.35023OpenAlexW1997780807MaRDI QIDQ1122054

Thomas Kappeler

Publication date: 1988

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(88)90021-8

zbMATH Keywords

spectrumdiscrete Schrödinger equationcomplex-valued potentialisospectral potentialscrystal momentumL-periodicZariski-open dense set

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Floquet isospectrality for periodic graph operators ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ On isospectral potentials on flat tori II ⋮ On isospectral periodic potentials on a discrete lattice. I ⋮ Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\) ⋮ Inverse spectral results on even dimensional tori ⋮ An overview of periodic elliptic operators

Cites Work

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• On isospectral periodic potentials on a discrete lattice. I
• Isospectral deformations of compact solvmanifolds
• Riemannian manifolds isospectral on functions but not on 1-forms
• Riemannian coverings and isospectral manifolds
• The spectrum of the Laplacian on Riemannian Heisenberg manifolds
• Isospectral and non-isometric Riemannian manifolds
• Some inverse spectral results for negatively curved 2-manifolds
• Spectral theory on S**2: some open questions
• On manifolds of negative curvature with isospectral potentials
• On spherical spaces forms which are isospectral but not isometric
• Spectral Properties of a Certain Class of Complex Potentials
• On the compactness of ISO-spectral potentials
• On isospectral periodic potentials in Rn. II
• Isospectral deformations I: Riemannian structures on two-step nilspaces
• Isometry Groups of Riemannian Solvmanifolds
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

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