English

An integral representation for the resolvent kernel with magnetic fields on the hyperbolic plane and applications to time dependent Schr\"odinger equations

Mathematical Physics 2019-11-19 v2 math.MP

Abstract

In this paper we give an integral representation for the resolvent kernels with uniform magnetic field on the hyperbolic plane, as applications of our results we solve explicitly two times dependent Schr\"odinger equations with uniform magnetic field on the hyperbolic plane

Keywords

Cite

@article{arxiv.1909.13487,
  title  = {An integral representation for the resolvent kernel with magnetic fields on the hyperbolic plane and applications to time dependent Schr\"odinger equations},
  author = {Mohamed Vall Ould Moustapha},
  journal= {arXiv preprint arXiv:1909.13487},
  year   = {2019}
}