Uniform spectral asymptotics for a Schrödinger operator on a segment with delta-interaction

DOI10.1134/S1061920824020018MaRDI QIDQ6585798

D. M. Polyakov, Denis Borisov

Publication date: 12 August 2024

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

zbMATH Keywords

Schrödinger operatorDirichlet boundary conditionresolvent estimatesperturbation of eigenvaluesDelta-interaction

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Title not available (Why is that?)
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• The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential
• Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers
• Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential
• Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential
• The limit behavior of the spectrum for large parameter values in a model problem
• On a model problem for the Orr-Sommerfeld equation with linear profile
• Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution
• Subcritical transition in channel flows
• On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile
• On localization conditions for spectrum of model operator for Orr - Sommerfeld equation
• Pseudospectra of the Orr–Sommerfeld Operator
• Spectral properties of non-self-adjoint operators in the semi-classical regime

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