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arxiv: math-ph/0504052 · v1 · submitted 2005-04-16 · 🧮 math-ph · math.MP

A topological version of Levinson's theorem

classification 🧮 math-ph math.MP
keywords levinsonscatteringtheoremtopologicalversionappropriateboundcocyles
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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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