Lagrangian Manifolds and Maslov Indices Corresponding to the Spectral Series of the Schrödinger Operators with Delta-potentials

DOI10.1007/978-3-319-63594-1_12zbMath1458.58015OpenAlexW2787759040MaRDI QIDQ4556839

Andrej I. Shafarevich

Publication date: 28 November 2018

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

Full work available at URL: https://doi.org/10.1007/978-3-319-63594-1_12

zbMATH Keywords

Lagrangian manifoldsMaslov indicesoperators with delta-potentials

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

• Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere
• Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution
• Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold
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