Wigner Quantum Oscillators

T. D. Palev; N. I. Stoilova

doi:10.1088/0305-4470/27/3/035

Wigner Quantum Oscillators

高能物理 - 理论 2009-10-22 v1

作者: T. D. Palev , N. I. Stoilova

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摘要

We present three groups of noncanonical quantum oscillators. The position and the momentum operators of each of the groups generate basic Lie superalgebras, namely $sl(1/3)$ , $osp(1/6)$ and $osp(3/2)$ . The $sl(1/3)$ -oscillators have finite energy spectrum and finite-dimensions. The $osp(1/6)$ -oscillators are related to the para-Bose statistictics. The internal angular momentum $s$ of the $osp(3/2)$ -oscillators takes no more than three (half)integer values. In a particular representation $s=1/2$ .

关键词

harmonic oscillator in quantum mechanics quantum algebra lie algebras and representations

引用

@article{arxiv.hep-th/9307102,
  title  = {Wigner Quantum Oscillators},
  author = {T. D. Palev and N. I. Stoilova},
  journal= {arXiv preprint arXiv:hep-th/9307102},
  year   = {2009}
}

备注

8 pagex, TeX, IC/93/190

Wigner Quantum Oscillators

摘要

关键词

引用

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