A magnetic version of the Smilansky–Solomyak model

DOI10.1088/1751-8121/aa9234zbMath1380.81115arXiv1708.07375OpenAlexW3098506795WikidataQ59181687 ScholiaQ59181687MaRDI QIDQ4600918

Pavel Exner, Diana Barseghyan

Publication date: 18 January 2018

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

Full work available at URL: https://arxiv.org/abs/1708.07375

zbMATH Keywords

essential spectrumdiscrete spectrumhomogeneous magnetic fieldSmilansky-Solomyak modelspectral transition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (5)

Spectral transition for Dirac operators with electrostatic \(\delta\)-shell potentials supported on the straight line ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ 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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