Work

Explicit formulas for the Schrödinger wave operators in R 2

Year: 2013

Type: article

Abstract: In this note, we derive explicit formulas for the Schrödinger wave operators in R 2 under the assumption that the 0-energy is neither an eigenvalue nor a resonance. These formulas justify the use of a recently introduced topological approach of scattering theory to obtain index theorems.

Source: Comptes Rendus Mathématique

DOI: 10.1016/j.crma.2013.03.006

Authors: Serge Richard, Rafael Tiedra de Aldecoa

Institutions: Lyon 1 Université, Centre National de la Recherche Scientifique, Université de Lyon, Institut Camille Jordan, Pontificia Universidad Católica de Chile

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2035749745

FWCI: 0.309

Cites: 30

Cited by: 7

Related to: 5