A topological version of Levinson's theorem

Details A topological version of Levinson's theorem A topological version of Levinson's theorem

2005-04-16

arxiv.org/abs/math-ph/0504052v1

Physics

Mathematical Physics

6 pages

Scientific paper

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.

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