Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions

DOI10.1007/s00033-011-0163-yzbMath1238.35070OpenAlexW2162223836MaRDI QIDQ422301

Nicolas Raymond, Monique Dauge, Virginie Bonnaillie-Noël, Nicolas Popoff

Publication date: 16 May 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0163-y

zbMATH Keywords

Schrödinger operatorBorn-Oppenheimer approximationAgmon estimatessemi classical limit

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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