English

Noncommutative Point Sources

High Energy Physics - Theory 2008-11-26 v1 High Energy Physics - Phenomenology

Abstract

We construct a perturbative solution to classical noncommutative gauge theory on R3{\mathbb{R}}^{3} minus the origin using the Groenewald-Moyal star product. The result describes a noncommutative point charge. Applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the 1S1S hyperfine splitting which are first order in the noncommutativity parameter.

Keywords

Cite

@article{arxiv.0709.3831,
  title  = {Noncommutative Point Sources},
  author = {A. Stern},
  journal= {arXiv preprint arXiv:0709.3831},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T09:21:16.295Z