The spectrum of a harmonic oscillator operator perturbed by \(\delta\)-interactions

DOI10.1007/S00020-016-2307-0zbMath1353.47085OpenAlexW2489875099MaRDI QIDQ334777

Boris S. Mityagin

Publication date: 1 November 2016

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-016-2307-0

zbMATH Keywords

Hermite functionsharmonic oscillatorasymptotic of eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Singularly perturbed rank one linear operators ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ Singular finite-rank nonsymmetric perturbations of a self-adjoint operator ⋮ Non-real eigenvalues of the harmonic oscillator perturbed by an odd, two-point interaction ⋮ Differential operators admitting various rates of spectral projection growth ⋮ Local form-subordination condition and Riesz basisness of root systems

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