Isophasal, isopolar, and isospectral Schrödinger operators and elementary complex analysis

DOI10.1353/ajm.2008.0002zbMath1140.35005OpenAlexW1988244358MaRDI QIDQ5454154

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Publication date: 3 April 2008

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2008.0002

zbMATH Keywords

periodic potentialssuper-exponentially decaying potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Unnamed Item ⋮ Heat traces and existence of scattering resonances for bounded potentials ⋮ Resonant rigidity for Schrödinger operators in even dimensions ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators ⋮ Lower bounds for resonance counting functions for Schrödinger operators with fixed sign potentials in even dimensions ⋮ Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three ⋮ A criterion for Hill operators to be spectral operators of scalar type

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