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Interpretation and extension of Green's ansatz for paraparticles

1999/08/23 by C. Quesne
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP #math.QA #quant-ph

paper · pdf · doi:10.1016/s0375-9601(99)00594-0

published as Phys. Lett. A 260 (1999) 437-440 · LaTeX, uses amssym.sty, 9 pages, no figures, to appear in Phys. Lett. A

arxiv created 1999/08/23 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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=∑α=1r pα are constructed from r paraparticles of order pα, α=1,2, ...,r.

Citations