Interpretation and extension of Green's ansatz for paraparticles |
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| Authors: | C Quesne |
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| Institution: | Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels, Belgium |
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| 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 
are constructed from r paraparticles of order p , =1, 2, …, r. |
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| Keywords: | Parastatistics Green's ansatz Hopf algebras |
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