English

Spectral and scattering theory for the Aharonov-Bohm operators

Mathematical Physics 2009-12-01 v2 math.MP

Abstract

We review the spectral and the scattering theory for the Aharonov-Bohm model on R^2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.

Keywords

Cite

@article{arxiv.0911.4715,
  title  = {Spectral and scattering theory for the Aharonov-Bohm operators},
  author = {K. Pankrashkin and S. Richard},
  journal= {arXiv preprint arXiv:0911.4715},
  year   = {2009}
}

Comments

25 pages, Remark 1 and Reference [7] added