Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip

DOI10.1134/S0012266119050094zbMath1421.81042OpenAlexW2950865350MaRDI QIDQ2319425

I. G. Nugaeva, Z. Yu. Fazullin

Publication date: 19 August 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119050094

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (3)

Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip ⋮ Unnamed Item ⋮ On necessary and sufficient condition in theory of regularized traces

Cites Work

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• Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula
• A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian
• Spectrum and the trace formula for a two-dimensional Schrödinger operator in a homogeneous magnetic field
• The spectrum and trace formula for the two-dimensional Schrödinger operator in a homogeneous magnetic field
• The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphere \(S^ 2\)
• Regularized trace of a two-dimensional harmonic oscillator
• Traces of operators with relatively compact perturbations
• Non-nuclear perturbations of discrete operators and trace formulae
• A formula for the first regularized trace of a perturbed Laplace-Beltrami operator

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