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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2005 Volume 145, Number 3, Pages 358–371 (Mi tmf1905)
This article is cited in 34 papers

Local Perturbations of Quantum Waveguides

R. R. Gadyl'shin

Bashkir State Pedagogical University

Abstract: We give necessary and sufficient conditions for the occurrence of eigenvalues of the Schrodinger operator in strips and cylinders under small localized perturbations. We construct asymptotic approximations for the eigenvalues.

Keywords: Schrodinger operator, waveguide, perturbation, spectrum, asymptotic approximation.

Received: 16.02.2005

DOI: 10.4213/tmf1905


 English version: Theoretical and Mathematical Physics, 2005, 145:3, 1678–1690

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© Steklov Math. Inst. of RAS, 2024