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Paper   IPM / Physic / 7142
School of Physics
  Title:   Quantization of Paraclassical Systems and Parabose-Parafermi Supersymmetry
  Author(s):  A. Mostafazadeh
  Status:   In Proceedings
  Proceeding: Turkish J. of Physics 2 (1997), 478-483, Proceedings of the Barut Memorial Conference on Group Theory in Physics.
  No.:  0
  Year:  1997
  Supported by:  IPM
A convenient formalism is developed to treat classical dynamical systems involving (p=2) parafermionic and parabosonic dynamical variables. This is achieved via the introduction of a parabracketwhich summarizes the para-commutation relations of the corresponding Green components in a unified manner. The formalism is used to investigate the supersymmetries of a system consisting of a (p=2) parabose and a (p=2) parafermi oscillator. This suggests a definition for supersymmetric paraquantum mechanics of order (p=2). For such systems the degeneracy structure of the spectrum is also analyzed.

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