Nonrelativistic Scattering Analysis of Charged Particle by a Magnetic Monopole in the Global Monopole Background

Abstract

We analyze the nonrelativistic quantum scattering problem of a charged particle by an Abelian magnetic monopole in the background of a global monopole. In addition to the magnetic and geometric effects, we consider the influence of the electrostatic self-interaction on the charged particle. Moreover, for the specific case where the electrostatic self-interaction becomes attractive, charged particle-monopole bound system can be formed and the respective energy spectrum is hydrogen-like one.

10 pages. Contribution to the Proceedings of "2nd International Londrina Winter School Mathematical Methods in Physics". August 26-30, 2002, Londrina, PR, Brazil