Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains

DOI10.1063/1.4999625zbMath1386.81075arXiv1708.02926OpenAlexW2745287519MaRDI QIDQ4639349

Bernard Helffer, Yaniv Almog, Denis S. Grebenkov

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1708.02926

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (11)

On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields ⋮ The fate of Landau levels under \(\delta\)-interactions ⋮ On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions ⋮ The Complex Airy Operator on the Line with a Semipermeable Barrier ⋮ On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains ⋮ On a Schrödinger operator with a purely imaginary potential in the semiclassical limit ⋮ Semigroup expansions for non-selfadjoint Schrödinger operators ⋮ Diffusion NMR in periodic media: efficient computation and spectral properties ⋮ Spectral branch points of the Bloch–Torrey operator

Cites Work

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