A topological version of Levinson's theorem
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate cyclic cocyles lead naturally to a topological version of Levinson's theorem.
Cite
@article{arxiv.math-ph/0504052,
title = {A topological version of Levinson's theorem},
author = {Johannes Kellendonk and Serge Richard},
journal= {arXiv preprint arXiv:math-ph/0504052},
year = {2007}
}
Comments
6 pages