A comparative study on q-deformed fermion oscillators
arXiv:1102.0633 · doi:10.1007/s10773-011-0666-5
Abstract
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.
32 pages, 2 figures, to appear in Int. J. Theor. Phys. (IJTP)