Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory

Details Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory

2001-10-20

arxiv.org/abs/hep-th/0110191v2

Phys.Rev.Lett. 88 (2002) 151602

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, minor modification, references added

Scientific paper

10.1103/PhysRevLett.88.151602

We derive noncommutative multi-particle quantum mechanics from noncommutative quantum field theory in the nonrelativistic limit. Paricles of opposite charges are found to have opposite noncommutativity. As a result, there is no noncommutative correction to the hydrogen atom spectrum at the tree level. We also comment on the obstacles to take noncommutative phenomenology seriously, and propose a way to construct noncommutative SU(5) grand unified theory.

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