Spin noncommutativity and the three-dimensional harmonic oscillator
Spin noncommutativity and the three-dimensional harmonic oscillator
A three-dimensional harmonic oscillator with spin noncommutativity 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 …