A one-dimensional Schrödinger operator with square-integrable potential

DOI10.1134/S0037446618030102OpenAlexW2809860529MaRDI QIDQ1673675

Dmitry M. Polyakov

Publication date: 13 September 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446618030102

zbMATH Keywords

spectral projectionone-dimensional Schrödinger operatoroperator semigroupasymptotics of the eigenvalues

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX)

Related Items (4)

Spectral asymptotics of two-term even order operators with involution ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Fourier method for a mixed problem with the Hill operator ⋮ Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

• Unnamed Item
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• Spectral asymptotics for nonsmooth perturbations of differential operators and trace formulas
• Sturm-Liouville operators with singular potentials
• Perturbation theory for linear operators.
• Inverse problem for periodic ``weighted operators
• Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order \(2m\)
• On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
• Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials
• Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions
• Perturbations of self-adjoint and normal operators with discrete spectrum
• A THEOREM ON SPLITTING AN OPERATOR, AND SOME RELATED QUESTIONS IN THE ANALYTIC THEORY OF PERTURBATIONS
• Solution of the inverse spectral problem for an impedance with integrable derivative part I
• Solution of the inverse spectral problem for an impedance with integrable derivative part II
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL OPERATORS
• The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
• Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials

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