A topological version of Levinson's theorem
Kellendonk, Johannes ; Richard, Serge
arXiv, 0504052 / Harvested from arXiv
In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate cyclic cocyles lead naturally to a topological version of Levinson's theorem.
Publié le : 2005-04-16
Classification:  Mathematical Physics
@article{0504052,
     author = {Kellendonk, Johannes and Richard, Serge},
     title = {A topological version of Levinson's theorem},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504052}
}
Kellendonk, Johannes; Richard, Serge. A topological version of Levinson's theorem. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504052/