Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
High Energy Physics - Theory
2013-05-30 v2
Abstract
A three-dimensional harmonic oscillator with spin non-commutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.
Cite
@article{arxiv.1111.0511,
title = {Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator},
author = {H. Falomir and J. Gamboa and M. Loewe and F. Mendez and J. C. Rojas},
journal= {arXiv preprint arXiv:1111.0511},
year = {2013}
}
Comments
6 pages, no figures,references added