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math-ph2005
A topological version of Levinson's theorem
Johannes Kellendonk, Serge Richard
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…
math-ph2004★ 18 cited
Twisted Crossed Products and Magnetic Pseudodifferential Operators
Marius Mantoiu, Radu Purice, Serge Richard
There is a connection between the Weyl pseudodifferential calculus and crossed product C*-algebras associated with certain dynamical systems. And in fact both topics are involved i…