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

Johannes Kellendonk (1) , Serge Richard (1)

1 ICJ - Institut Camille Jordan

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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Johannes Kellendonk, Serge Richard. The topological meaning of Levinson's theorem, half-bound states included. 2008. ⟨hal-00358189⟩