Two-particle scattering theory for anyons
Korff, C. ; Lang, G. ; Schrader, R.
arXiv, 9809027 / Harvested from arXiv
Text on arXiv
We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in R^2 with anyon statistics. Sufficient conditions are given which guarantee the existence of wave operators and the unitarity of the S-matrix. As examples the rotationally invariant potential well and the delta-function potential are discussed in detail. In case of a general rotationally invariant potential the angular momentum decomposition leads to a theory of Jost functions. The anyon statistics parameter gives rise to an interpolation for angular momenta analogous to the Regge trajectories for complex angular momenta. Levinson's theorem is adapted to the present context. In particular we find that in case of a zero energy resonance the statistics parameter can be determined from the scattering phase.
Publié le : 1998-09-10
Classification:  Quantum Physics,  Condensed Matter - Mesoscale and Nanoscale Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{9809027,
     author = {Korff, C. and Lang, G. and Schrader, R.},
     title = {Two-particle scattering theory for anyons},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809027}
}

Korff, C.; Lang, G.; Schrader, R. Two-particle scattering theory for anyons. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809027/