A regular analogue of the Smilansky model: spectral properties

DOI10.1016/S0034-4877(17)30075-7zbMath1384.81023arXiv1609.03008OpenAlexW2518674801MaRDI QIDQ1746048

Diana Barseghyan, Pavel Exner

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03008

zbMATH Keywords

discrete spectrumeigenvalue estimatesSmilansky modelspectral transition

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

A magnetic version of the Smilansky–Solomyak model ⋮ Schrödinger Operators with a Switching Effect ⋮ The Kronig–Penney model in a quadratic channel with δ interactions: II. Scattering approach ⋮ A Kronig–Penney model in a quadratic channel with periodic δ-interactions: I. Dynamics

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