Spectral deformation in a problem of singular perturbation theory

DOI10.1134/S1064562419010186zbMath1417.81133OpenAlexW2945082544MaRDI QIDQ2424389

V. V. Fufaev, S. A. Stepin

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419010186

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Cites Work

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• Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential
• On the concentration of spectrum in the model problem of singular perturbation theory
• Quantum mechanics and asymptotic series
• Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum
• Asymptotic forms of the eigenvalues of nonselfadjoint boundary value problems

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