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Levinson's theorem for Schroedinger operators with point interaction: a topological approach

Johannes Kellendonk, Serge Richard

math-pharXiv:math-ph/0607042

Abstract

In this note Levinson theorems for Schroedinger operators in Rn with one point interaction at 0 are derived using the concept of winding numbers. These results are based on new expressions for the associated wave operators.

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