Modern Physics Letters A · 2010 · 87 citations · 32 references
Natural SciencesPhysicsQuantum MechanicsRelativityTheoretical PhysicsPerturbation TheoryQuantum Field TheorySpectral TheoryCoulomb InteractionDegenerate Perturbation TheoryKlein-gordon EquationNon-degenerate Perturbation TheoryNoncommutative GeometrySpectral Line Analysis
In this paper the stationary Klein–Gordon equation is considered for the Coulomb potential in noncommutative space. The energy shift due to noncommutativity is obtained via the perturbation theory. Furthermore, we show that the degeneracy of the initial spectral line is broken in transition from commutative space to noncommutative space.
32
Michael R. Douglas, Nikita Nekrasov · Reviews of Modern Physics · 2001 · 2.1K citations · Full text
Quantum field theory on noncommutative spaces
Richard J. Szabo · Physics Reports · 2003 · 1.7K citations · Full text
Noncommutative Field Theory and Lorentz Violation
Sean M. Carroll, Jeffrey A. Harvey, V. Alan Kostelecký et al. · Physical Review Letters · 2001 · 998 citations · Full text