A comparative study on q-deformed fermion oscillators

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)

References in corpus (18)

• Quantum Groups and Their Applications in Nuclear Physics
• Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
• Generalized thermodynamics of q-deformed bosons and fermions
• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• Kinetic model for q-deformed bosons and fermions
• Anyonic behavior of quantum group gases
• Thermostatistics of deformed bosons and fermions
• Intermediate statistics as a consequence of deformed algebra
• Fermion-Boson Interactions and Quantum Algebras
• Thermodynamics of a free $S{U}_q(2)$ fermionic system
• q-deformed Fermions
• Thermal Field Theory and Infinite Statistics
• Effect of q-deformation in the NJL gap equation
• Deformed quantum statistics in two-dimensions
• Invariance quantum group of the fermionic oscillator
• Bose Einstein condensation in a gas of the Fibonacci oscillators
• q-Fermionic Numbers and Their Roles in Some Physical Problems
• Transformations of q-boson and q-fermion algebras

Cited by in corpus (9)

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• Heat capacity of Holographic screen inspires MOND theory
• $q$-deformed Fermion in Many-Particle Systems and Its Application to BCS Theory
• Thermostatistics of a q-deformed Relativistic Ideal Fermi Gas
• Finite Temperature Behaviors of q-deformed Fermi Gases
• Intermediate statistics: addressing the Landau diamagnetism problem
• Approximation properties of q-Bernoulli polynomials
• Remarks on SU_q(2) fermions