Wigner quantum oscillators. Osp(3/2) oscillators

Details Wigner quantum oscillators. Osp(3/2) oscillators Wigner quantum oscillators. Osp(3/2) oscillators

1994-05-19

arxiv.org/abs/hep-th/9405125v1

J.Phys. A27 (1994) 7387-7402

Physics

High Energy Physics

High Energy Physics - Theory

TeX, Preprint INRNE-TH-94/3, 17 p

Scientific paper

10.1088/0305-4470/27/22/014

The properties of the three-dimensional noncanonical osp(3/2) oscillators, introduced in J.Phys. A: Math. Gen. {\bf 27} (1994) 977, are further studied. The angular momentum M of the oscillators can take at most three values M=p-1,p,p+1, which are either all integers or all half-integers. The coordinates anticommute with each other. Depending on the state space the energy spectrum can coincide or can be essentially different from those of the canonical oscillator. The ground state is in general degenerated.

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