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J. Math. Phys. 29, 16 (1988); http://dx.doi.org/10.1063/1.528170 (5 pages)

Supersymmetry, parastatistics, and operator realizations of a Lie algebra

S. N. Biswas and S. K. Soni

Department of Physics and Astrophysics, University of Delhi, Delhi‐110007, India

(Received 5 May 1987; accepted 9 September 1987)

The algebraic structure of parastatistics has been generalized and it is found to be consistent with supersymmetric quantum mechanics with supercharges constructed out of the generalized para‐Bose and para‐Fermi operators. It is further shown that the operator algebra of generalized parastatistics offers a realization of the (graded) orthosymplectic group similar to that of orthogonal and symplectic groups using conventional parastatistics.

KEYWORDS and PACS

PACS

  • 02.20.Qs

    General properties, structure, and representation of Lie groups

  • 03.65.Fd

    Algebraic methods

  • 11.30.Pb

    Supersymmetry

ARTICLE DATA

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    H. S. Green, Phys. Rev. 90, 270 (1953).

    A. J. Bracken and H. S. Green, J. Math. Phys. 14, 1784 (1973JMAPAQ000014000012001784000001).

    P. Jordan, N. Mukunda, and S. V. Pepper, J. Math. Phys. 4, 1089 (1963JMAPAQ000004000008001089000001).



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