Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum

DOI10.1070/RM1995v050n06ABEH002686zbMath0856.34069OpenAlexW2092564294MaRDI QIDQ4891267

S. A. Stepin

Publication date: 27 February 1997

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1995v050n06abeh002686

zbMATH Keywords

eigenvaluesspectrumGreen functionnon-self-conjugate singularly perturbed boundary value problems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singular perturbations for ordinary differential equations (34E15)

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Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ Spectral deformation in a problem of singular perturbation theory ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential ⋮ Phase integral method in the problem of quasiclassical localization of spectra ⋮ On the concentration of spectrum in the model problem of singular perturbation theory ⋮ WKB asymptotics and spectral deformation in semi-classical limit ⋮ Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution

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