On the wave operators for the Friedrichs-Faddeev model

DOI10.1007/s00023-012-0161-4zbMath1251.81091arXiv1108.5813OpenAlexW1977263166MaRDI QIDQ451775

Hiroshi Isozaki, Serge Richard

Publication date: 24 September 2012

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

Full work available at URL: https://arxiv.org/abs/1108.5813

zbMATH Keywords

Friedrichs-Faddeev model

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20)

Related Items (6)

Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\) ⋮ 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 \(\mathbb R^3\) ⋮ Levinson's theorem as an index pairing ⋮ One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results

Cites Work

• Regularity of eigenstates in regular Mourre theory
• New formulae for the wave operators for a rank one interaction
• A new look at Mourre's commutator theory
• The singular spectrum of the weakly perturbed multiplication operator
• Über die Spektralzerlegung eines Integraloperators
• ON THE WAVE OPERATORS AND LEVINSON'S THEOREM FOR POTENTIAL SCATTERING IN ℝ³
• SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS
• Levinson's theorem for Schrödinger operators with point interaction: a topological approach
• The topological meaning of Levinson's theorem, half-bound states included
• On the structure of the wave operators in one dimensional potential scattering
• SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3
• On the Friedrichs model in the theory of perturbations of a continuous spectrum
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