New formulae for the wave operators for a rank one interaction

DOI10.1007/s00020-010-1745-3zbMath1206.47013arXiv0902.3815OpenAlexW1996138170MaRDI QIDQ989944

Serge Richard, Rafael Tiedra de Aldecoa

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3815

zbMATH Keywords

wave operatorsFriedrichs modelLevinson's theorem

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Scattering theory of linear operators (47A40)

Related Items (10)

Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\) ⋮ ON THE WAVE OPERATORS AND LEVINSON'S THEOREM FOR POTENTIAL SCATTERING IN ℝ³ ⋮ Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition ⋮ Levinson’s Theorem: An Index Theorem in Scattering Theory ⋮ New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\) ⋮ A weak limit theorem for a class of long-range-type quantum walks in 1d ⋮ Levinson's theorem as an index pairing ⋮ On the wave operators for the Friedrichs-Faddeev model ⋮ One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results ⋮ Levinson's theorem and higher degree traces for Aharonov-Bohm operators

Cites Work

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• TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY
• On the Friedrichs model in the theory of perturbations of a continuous spectrum
• Derivation of the Wave and Scattering Operators for an Interaction of Rank One

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