Interpretation and Extension of the Green's Ansatz for Paraparticles

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 $p={\sum }_{\alpha =1}^r{p}_{\alpha }$ are constructed from r paraparticles of order $p_{\alpha }$, $\alpha$=1,2, ...,r.

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

References in corpus (2)

• Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map
• Exclusion statistics,operator algebras and Fock space representations

Cited by in corpus (4)

• The parafermion Fock space and explicit so(2n+1) representations
• Paraboson quotients. A braided look at Green ansatz and a generalization
• Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras
• The parastatistics Fock space and explicit Lie superalgebra representations