Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics
arXiv:0905.0157 · doi:10.1016/j.physletb.2009.09.007
Abstract
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.
New references added, implications with Bose-Einstein condensationare discussed and some portions of the manuscript rewritten