Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-24
Phys.Rev.Lett.100:061601,2008
Physics
High Energy Physics
High Energy Physics - Theory
8 pages
Scientific paper
10.1103/PhysRevLett.100.061601
We construct a perturbative solution to classical noncommutative gauge theory
on ${\mathbb{R}}^{3}$ 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 $1S$
hyperfine splitting which are first order in the noncommutativity parameter.
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