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Paper   IPM / Physic / 6526
School of Physics
  Title:   Parageneralization of Peierls Bracket Quantization
  Author(s):  A. Mostafazadeh
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  No.:  18
  Vol.:  11
  Year:  1996
  Pages:   2941-2955
  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 parabracket which summarizes the paracommutation relations of the corresponding Green components in a unified manner. Furthermore, it is shown that Peierls quantization scheme may be applied to such systems provided that one uses the above-mentioned parabracket to express the quantum paracommutation relations. Application of the Peierls scheme also provides the form of the parafermionic and parabosonic kinetic terms in the Lagrangian.

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