Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED

Abstract

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

RevTex format, no figures, 4 pages, v2: minor corrections and clarifications

References in corpus (10)

• String Theory and Noncommutative Geometry
• Space-Time Noncommutative Field Theories And Unitarity
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
• Discrete Symmetries (C,P,T) in Noncommutative Field Theories
• Noncommutative QED and Anomalous Dipole Moments
• Two-Loop Diagrams in Noncommutative ${\varphi }_4^4$ theory
• Gauge Theory on a Quantum Phase Space
• Space-Time Noncommutativity, Discreteness of Time and Unitarity
• Pair Production by a Constant External Field in Noncommutative QED

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