Levinson's theorem as an index pairing

Authors

Angus Alexander, University of Wollongong
Adam Rennie, University of Wollongong

Publication Name

Journal of Functional Analysis

Abstract

We build on work of Kellendonk, Richard, Tiedra de Aldecoa and others to show that the wave operators for Schrödinger scattering theory on Rn generically have a particular form. As a consequence, Levinson's theorem can be interpreted as the pairing of the K-theory class of the unitary scattering operator and the K-homology class of the generator of the group of dilations.

Open Access Status

This publication may be available as open access

Volume

286

Issue

5

Article Number

110287

Funding Number

DP220101196

Funding Sponsor

Australian Research Council