On the wave operators for the Friedrichs-Faddeev model

Abstract

We provide new formulae for the wave operators in the context of the Friedrichs-Faddeev model. Continuity with respect to the energy of the scattering matrix and a few results on eigenfunctions corresponding to embedded eigenvalues are also derived.

10 pages

References in corpus (4)

• Levinson's theorem for Schroedinger operators with point interaction: a topological approach
• Scattering theory for lattice operators in dimension $d\ge 3$
• The topological meaning of Levinson's theorem, half-bound states included
• Regularity of Eigenstates in Regular Mourre Theory

Cited by in corpus (6)

• One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results
• New expressions for the wave operators of Schroedinger operators in R^3
• Levinson's theorem: an index theorem in scattering theory
• Levinson's theorem as an index pairing
• Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides
• Unphysical energy sheets and resonances in the Friedrichs-Faddeev model