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Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator

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Abstract
The ordinary Bose and Fermi statistics and their generalizations para-Bose and para-Fermi statistics are considered from an algebraic point of view. It is indicated that they correspond to representations of Lie superalgebras B(0|n) and Bn. Generalized statistics and nonstandard quantum systems associated to the other basic classical Lie superalgebras are discussed. The Wigner quantum oscillator corresponding to the Lie superalgebra osp(3|2) is considered.
Keywords
parastatistics, Lie superalgebra, representations

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Citation

Please use this url to cite or link to this publication:

MLA
Stoilova, Neli I., and Joris Van der Jeugt. “Lie Superalgebraic Approach to Quantum Statistics : Osp(3|2) Wigner Quantum Oscillator.” BULGARIAN JOURNAL OF PHYSICS, vol. 44, 2017, pp. 1–8.
APA
Stoilova, N. I., & Van der Jeugt, J. (2017). Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator. BULGARIAN JOURNAL OF PHYSICS, 44, 1–8.
Chicago author-date
Stoilova, Neli I, and Joris Van der Jeugt. 2017. “Lie Superalgebraic Approach to Quantum Statistics : Osp(3|2) Wigner Quantum Oscillator.” BULGARIAN JOURNAL OF PHYSICS 44: 1–8.
Chicago author-date (all authors)
Stoilova, Neli I, and Joris Van der Jeugt. 2017. “Lie Superalgebraic Approach to Quantum Statistics : Osp(3|2) Wigner Quantum Oscillator.” BULGARIAN JOURNAL OF PHYSICS 44: 1–8.
Vancouver
1.
Stoilova NI, Van der Jeugt J. Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator. BULGARIAN JOURNAL OF PHYSICS. 2017;44:1–8.
IEEE
[1]
N. I. Stoilova and J. Van der Jeugt, “Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator,” BULGARIAN JOURNAL OF PHYSICS, vol. 44, pp. 1–8, 2017.
@article{8516025,
  abstract     = {{The ordinary Bose and Fermi statistics and their generalizations para-Bose and para-Fermi statistics are considered from an algebraic point of view. It is indicated that they correspond to representations of Lie superalgebras B(0|n) and Bn. Generalized statistics and nonstandard quantum systems associated to the other basic classical Lie superalgebras are discussed. The Wigner quantum oscillator corresponding to the Lie superalgebra osp(3|2) is considered.}},
  author       = {{Stoilova, Neli I and Van der Jeugt, Joris}},
  issn         = {{1310-0157}},
  journal      = {{BULGARIAN JOURNAL OF PHYSICS}},
  keywords     = {{parastatistics,Lie superalgebra,representations}},
  language     = {{eng}},
  pages        = {{1--8}},
  title        = {{Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator}},
  url          = {{http://www.bjp-bg.com/paper.php?id=824}},
  volume       = {{44}},
  year         = {{2017}},
}