Hyperfine splitting in noncommutative spaces

Details Hyperfine splitting in noncommutative spaces Hyperfine splitting in noncommutative spaces

2006-08-16

arxiv.org/abs/hep-th/0608107v2

Phys. Scr. 78 (2008) 015005

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

We study the hyperfine splitting in the framework of the noncommutative quantum mechanics (NCQM) developed in the literature. The results show deviations from the usual quantum mechanics. We show that the energy difference between two excited F = I + 1/2 and the ground F = I - 1/2 states in a noncommutative space (NCS) is bigger than the one in the commutative case, so the radiation wavelength in NCSs must be shorter than the radiation wavelength in commutative spaces. We also find an upper bound for the noncommutativity parameter.

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