Noncommutative Point Sources
classification
✦ hep-th
hep-ph
keywords
noncommutativepointapplyingatomchargeclassicalconstructdescribes
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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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