A comparative study on q-deformed fermion oscillators

Details A comparative study on q-deformed fermion oscillators A comparative study on q-deformed fermion oscillators

2011-02-03

arxiv.org/abs/1102.0633v1

Int.J.Theor.Phys.50:1554-1568,2011

Physics

Mathematical Physics

32 pages, 2 figures, to appear in Int. J. Theor. Phys. (IJTP)

Scientific paper

10.1007/s10773-011-0666-5

In this paper, the algebras, representations, and thermostatistics of four types of fermionic q-oscillator models, called fermionic Newton (FN), Chaichian-Kulish-Ng (CKN), Parthasarathy-Viswanathan-Chaichian (PVC), Viswanathan-Parthasarathy-Jagannathan-Chaichian (VPJC), are discussed. Similarities and differences among the properties of these models are revealed. Particular emphasis is given to the VPJC-oscillators model so that its Fock space representation is analyzed in detail. Possible physical applications of these models are concisely pointed out.

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