Levinson's theorem and higher degree traces for Aharonov-Bohm operators

DOI10.1063/1.3582943zbMath1317.81106arXiv1012.3215OpenAlexW2153019309MaRDI QIDQ5265977

Serge Richard, Konstantin Pankrashkin, Johannes Kellendonk

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1012.3215

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (8)

Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\) ⋮ ON THE WAVE OPERATORS AND LEVINSON'S THEOREM FOR POTENTIAL SCATTERING IN ℝ³ ⋮ Levinson’s Theorem: An Index Theorem in Scattering Theory ⋮ New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\) ⋮ Topology in shallow-water waves: a violation of bulk-edge correspondence ⋮ Does Levinson’s theorem count complex eigenvalues? ⋮ Levinson's theorem as an index pairing ⋮ One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results

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