Abstract
Using the matrix realisations of para-Fermi operators we find isomorphic mappings with respect to the Green product of the para-Fermi algebra into second-order polynomials of creation and annihilation para-Bose operators with arbitrary order of parastatistics. In the Fock space ℋ 12 of two Bose operators all the irreducible representations of the para-Fermi algebra are realised. The spaces ofn-particle Bose statesn=1,2,..., from which ℋ 12 is constructed as a direct sum, can be interpreted as spaces of para-Fermi states of para-statisticsn.
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Kademova, K. Realisations of the representations of para-Fermi algebra in Fock space of Bose operators: part I. Int J Theor Phys 3, 109–114 (1970). https://doi.org/10.1007/BF02412751
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DOI: https://doi.org/10.1007/BF02412751