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math-ph2007★ 22 cited
The topological meaning of Levinson's theorem, half-bound states included
Johannes Kellendonk, Serge Richard
We propose to interpret Levinson's theorem as an index theorem. This exhibits its topological nature. It furthermore leads to a more coherent explanation of the corrections due to…
math-ph2006★ 34 cited
Levinson's theorem for Schroedinger operators with point interaction: a topological approach
Johannes Kellendonk, Serge Richard
In this note Levinson theorems for Schroedinger operators in R^n with one point interaction at 0 are derived using the concept of winding numbers. These results are based on new ex…