Non-real eigenvalues of the harmonic oscillator perturbed by an odd, two-point interaction

DOI10.1063/1.5139901zbMath1443.81026arXiv1907.10564OpenAlexW2963753782MaRDI QIDQ3298918

Charles E. Baker, Boris S. Mityagin

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1907.10564

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (1)

Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials

Cites Work

• The spectrum of a harmonic oscillator operator perturbed by \(\delta\)-interactions
• The spectrum of a harmonic oscillator operator perturbed by point interactions
• Localization of eigenvalues of doubly cyclic matrices
• Perturbation theory for linear operators.
• Root system of singular perturbations of the harmonic oscillator type operators
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• PT-symmetric eigenvalues for homogeneous potentials
• Properties of a pseudo-Hermitian Hamiltonian for harmonic oscillator decorated with Dirac delta interactions
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