English

The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

High Energy Physics - Theory 2009-01-07 v3

Abstract

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schro¨\ddot{o}dinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schro¨\ddot{o}dinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.

Keywords

Cite

@article{arxiv.hep-th/0508193,
  title  = {The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics},
  author = {Kang Li and Sayipjamal Dulat},
  journal= {arXiv preprint arXiv:hep-th/0508193},
  year   = {2009}
}

Comments

5 RevTex pages, references added, typos corrected

R2 v1 2026-07-22T15:31:45.949Z