Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution

DOI10.1134/S1064562412050365zbMath1266.58015OpenAlexW2031478569WikidataQ125862045 ScholiaQ125862045MaRDI QIDQ1930819

Tudor S. Ratiu, T. A. Filatova, Andrej I. Shafarevich

Publication date: 14 January 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412050365

zbMATH Keywords

monodromy WKB method Lagrangian manifold regular singular point Langer-Wasow method

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Schrödinger operator, Schrödinger equation (35J10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

Lagrangian Manifolds and Maslov Indices Corresponding to the Spectral Series of the Schrödinger Operators with Delta-potentials ⋮ Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points ⋮ The semi-classical limit with a delta-prime potential ⋮ Solution of the Cauchy problem for the wave equation on a cone with a non-Friedrichs Laplacian ⋮ Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold ⋮ Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface ⋮ Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\)

Cites Work

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