Inverse Spectral Results on Two-Dimensional Tori

DOI10.2307/1990958zbMath0702.58075OpenAlexW4237876517MaRDI QIDQ3480971

Victor W. Guillemin

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/1990958

zbMATH Keywords

Schrödinger operatorinverse spectral problemband invariants

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Recovering quantum graphs from their Bloch spectrum ⋮ Uniqueness and stability results for an inverse spectral problem in a periodic waveguide ⋮ Floquet isospectrality for periodic graph operators ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ 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 ⋮ Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides ⋮ Gauge equivalence and the inverse spectral problem for the magnetic Schrödinger operator on the torus

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