Regularized trace of a two-dimensional harmonic oscillator

DOI10.1070/SM2001V192N05ABEH000566zbMath1009.47032OpenAlexW1975793634MaRDI QIDQ2784551

Z. Yu. Fazullin, Kh. Kh. Murtazin

Publication date: 2 June 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2001v192n05abeh000566

zbMATH Keywords

Schrödinger operatorregularized trace for the eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05)

Related Items (8)

Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices ⋮ Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip ⋮ Unnamed Item ⋮ The spectrum and trace formula for bounded perturbations of differential operators ⋮ On necessary and sufficient condition in theory of regularized traces ⋮ Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip ⋮ On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator ⋮ Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces

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