Phase integral method in the problem of quasiclassical localization of spectra

DOI10.1134/S1064562415030175zbMath1325.34104MaRDI QIDQ498199

S. A. Stepin, V. V. Fufaev

Publication date: 28 September 2015

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

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Linear ordinary differential equations and systems in the complex domain (34M03) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (2)

Level lines of harmonic functions related to some Abelian integrals ⋮ WKB asymptotics and spectral deformation in semi-classical limit

Cites Work

• Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators
• On the concentration of spectrum in the model problem of singular perturbation theory
• Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum
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