On resonances and bound states of Smilansky Hamiltonian

DOI10.17586/2220-8054-2016-7-5-789-802zbMath1366.81163arXiv1607.00540OpenAlexW2963399215MaRDI QIDQ2988302

Pavel Exner, Vladimir Lotoreichik, Miloš Tater

Publication date: 18 May 2017

Published in: Nanosystems: Physics, Chemistry, Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00540

zbMATH Keywords

Riemann surfaceresonancesbound statesweak coupling asymptoticsresonance free regionSmilansky Hamiltonian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Resonance in context of PDEs (35B34) Hamilton-Jacobi equations (35F21)

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