Interpretation and Extension of the Green's Ansatz for Paraparticles

Details Interpretation and Extension of the Green's Ansatz for Paraparticles Interpretation and Extension of the Green's Ansatz for Paraparticles

1999-08-23

arxiv.org/abs/math-ph/9908022v1

Phys. Lett. A 260 (1999) 437-440

Physics

Mathematical Physics

LaTeX, uses amssym.sty, 9 pages, no figures, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(99)00594-0

The anomalous bilinear commutation relations satisfied by the components of the Green's ansatz for paraparticles are shown to derive from the comultiplication of the paraboson or parafermion algebra. The same provides a generalization of the ansatz, wherein paraparticles of order $p=\sum_{\alpha=1}^r p_{\alpha}$ are constructed from r paraparticles of order $p_{\alpha}$, $\alpha$=1,2, ...,r.

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