Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator

Details Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator

2011-11-02

arxiv.org/abs/1111.0511v2

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures,references added

Scientific paper

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.

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