Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients

DOI10.1007/s11232-006-0100-yzbMath1177.81043OpenAlexW2028351795MaRDI QIDQ1047043

Andrej I. Shafarevich, S. V. Gal'tsev

Publication date: 3 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0100-y

zbMATH Keywords

Schrödinger operatorspectrumStokes linesnon-self-adjoint operatorspectral graph

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)

Related Items (4)

Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential

Cites Work

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• Non-selfadjoint singular perturbations and spectral properties of the Orr-Sommerfeld boundary-value problem
• On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile

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