Resonances induced by broken symmetry in a system with a singular potential

DOI10.1007/s00023-012-0160-5zbMath1252.81076OpenAlexW2064695355MaRDI QIDQ451769

Sylwia Kondej

Publication date: 24 September 2012

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-012-0160-5

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Straight quantum layer with impurities inducing resonances ⋮ Spectral analysis of a quantum system with a double line singular interaction ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\)

Cites Work

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• Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3
• Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop
• Schrödinger operators with singular interactions: a model of tunnelling resonances
• Scattering by local deformations of a straight leaky wire
• A Krein-like formula for singular perturbations of self-adjoint operators and applications

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