On isospectral potentials on tori

DOI10.1215/S0012-7094-91-06310-6zbMath0732.35064OpenAlexW2045731564MaRDI QIDQ808319

Thomas Kappeler, Carolyn S. Gordon

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06310-6

zbMATH Keywords

inverse spectral problemcompletely separable potentialsisospectral potentials on toriisospectral set

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Inverse Spectral Problems in Rectangular Domains ⋮ Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Floquet isospectrality for periodic graph operators ⋮ Isospectral periodic Torii in dimension 2 ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ On isospectral potentials on flat tori II ⋮ 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 ⋮ Gauge equivalence and the inverse spectral problem for the magnetic Schrödinger operator on the torus

Cites Work

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• Trace formula for Hill's operators
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On isospectral periodic potentials in Rn
• On isospectral periodic potentials in Rn. II

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