Semiclassical spectral invariants for Schrödinger operators

DOI10.4310/jdg/1343133702zbMath1273.35198arXiv0905.0919OpenAlexW2096156693WikidataQ115170155 ScholiaQ115170155MaRDI QIDQ449164

Victor W. Guillemin, Zuoqin Wang

Publication date: 12 September 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0919

zbMATH Keywords

Schrödinger operatorBirkhoff canonical forminverse spectral theoremssemiclassical spectral asymptotics

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Inverse problems for integral equations (45Q05)

Related Items (5)

Semi-classical weights and equivariant spectral theory ⋮ Band invariants for perturbations of the harmonic oscillator ⋮ Inverse spectral results for non-abelian group actions ⋮ The generalized Legendre transform and its applications to inverse spectral problems ⋮ Torsion type invariants of singularities

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