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

Abstract

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 expressions for the associated wave operators.

7 pages

References in corpus (1)

• Topological boundary maps in physics: General theory and applications

Cited by in corpus (3)

• On the structure of the wave operators in one dimensional potential scattering
• The topological meaning of Levinson's theorem, half-bound states included
• New formulae for the Aharonov-Bohm wave operators