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Para-Grassmann Star Product Calculation

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Abstract

In this Letter, we construct the star product for polynomials over the para-Grassmann variable and we present as an example a para-Grassmann version of the model of q–quantum mechanics. Moreover, using the structural relations of the q–deformed algebra generated by annihilation and creation operators, we decompose the Jacobi matrix in the product of three matrices: the diagonal matrix, the upper and lower diagonal matrices, mutually adjoint.

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Authors and Affiliations

  1. Department of Physics, Faculty of Mechanical Engineering, Czech Technical University, Technická 4, CZ, 16607, Prague, Czech Republic

    G. Chadzitaskos

  2. Institute of Physics, Warsaw University Branch, Lipowa 41, PL, 15424, Bialystok, Poland

    A. Odzijewicz

Authors
  1. G. Chadzitaskos
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  2. A. Odzijewicz
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Chadzitaskos, G., Odzijewicz, A. Para-Grassmann Star Product Calculation. Letters in Mathematical Physics 43, 199–209 (1998). https://doi.org/10.1023/A:1007468300054

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  • DOI: https://doi.org/10.1023/A:1007468300054

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