Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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New references added, implications with Bose-Einstein condensationare discussed and some portions of the manuscript rewritten

Scientific paper

10.1016/j.physletb.2009.09.007

A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground state is explicitly computed and we show that it is infinitely degenerated and implying a spontaneous symmetry breaking. The model can be straightforwardly extended to many particles and the main above properties are retained. Possible applications to the Bose-Einstein condensation with dipole-dipole interactions are briefly discussed.

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