Semiclassical asymptotics of the vector Sturm-Liouville problem

DOI10.1134/S1061920806020051zbMath1124.34061OpenAlexW2038043515MaRDI QIDQ871767

Andriy Kryvko, Valeri V. Kucherenko

Publication date: 26 March 2007

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

Full work available at URL: https://doi.org/10.1134/s1061920806020051

zbMATH Keywords

matrix Sturm-Liouville problemquantization conditionsWKB asymptotics, multiphase asymptotics

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

Asymptotics for the systems of ordinary equations with a small parameter near the derivative in the case of at least three coinciding characteristics

Cites Work

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• Quantum and classical dynamics of an electron in thin curved tubes with spin and external electromagnetic fields taken into account
• Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations
• Singular Bohr-Sommerfeld rules.

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