Inverse spectral problem for the 2-sphere Schrödinger operators with zonal potentials

DOI10.1007/BF00402039zbMath0693.35124WikidataQ61675428 ScholiaQ61675428MaRDI QIDQ908426

David Gurarie

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

reconstruction of the potential

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Multiparameter averaging and inverse spectral problem for anharmonic oscillators in \(\mathbb{R}{}^ n\) ⋮ On the eigenvalue asymptotics of Zonal Schrödinger operators in even metric and non-even metric ⋮ On the spectrum of the Schrödinger operator with a constant magnetic field plus a decreasing radial potential

Cites Work

• Band invariants and closed trajectories on \(S^ n\)
• Asymptotic inverse spectral problem for anharmonic oscillators
• Some spectral results for the Laplace operator with potential on the n- sphere
• Some inverse spectral results for negatively curved 2-manifolds
• Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. II. Le cas intégrable
• Spectral theory on S**2: some open questions
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• A symbol calculus for a class of pseudodifferential operators on \(S^ n\) and band asymptotics
• Asymptotic and geometric quantization
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