The topological meaning of Levinson's theorem, half-bound states included

Abstract

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 resonances at thresholds.

4 pages

References in corpus (2)

• Levinson's theorem for Schroedinger operators with point interaction: a topological approach
• Topological boundary maps in physics: General theory and applications

Cited by in corpus (5)

• On the structure of the wave operators in one dimensional potential scattering
• On the wave operators and Levinson's theorem for potential scattering in R^3
• Scattering approach for calculating one-loop effective action and vacuum energy
• New formulae for the Aharonov-Bohm wave operators
• Scattering theory and an index theorem on the radial part of SL(2,R)