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Noncommutative Point Sources

2007/09/24 by A. Stern · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.100.061601

published as Phys.Rev.Lett.100:061601,2008 · 8 pages

arxiv created 2007/09/24 · openalex publication_date 2008/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a perturbative solution to classical noncommutative gauge theory on R3 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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