Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics
High Energy Physics - Theory
2009-10-06 v2
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.
Cite
@article{arxiv.0905.0157,
title = {Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics},
author = {H. Falomir and J. Gamboa and J. Lopez-Sarrion and F. Mendez and P. A. G. Pisani},
journal= {arXiv preprint arXiv:0905.0157},
year = {2009}
}
Comments
New references added, implications with Bose-Einstein condensationare discussed and some portions of the manuscript rewritten