Advanced search
1 file | 342.21 KB

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

Author
Organization
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

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 342.21 KB

Citation

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

Chicago
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.
APA
Stoilova, Neli 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.
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.
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 44 (2017): 1–8. Print.
@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},
  keyword      = {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},
}