Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED

2000/10/31 by Масуд Чайчиан, M. Chaichian, M. M. Sheikh-Jabbari +2 · 22 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.86.2716

published as Phys.Rev.Lett.86:2716,2001 · RevTex format, no figures, 4 pages, v2: minor corrections and clarifications

arxiv created 2000/11/09 · openalex publication_date 2001/03/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have calculated the energy levels of the hydrogen atom as well as the Lamb shift within the noncommutative quantum electrodynamics theory. The results show deviations from the usual QED both on the classical and the quantum levels. On both levels, the deviations depend on the parameter of space/space noncommutativity.

Citations

• Space-time noncommutativity, discreteness of time and unitarity

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• Noncommutativity and unitarity violation in gauge boson scattering
• The Aharonov–Bohm effect in noncommutative quantum mechanics
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• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
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