A comparative study on q-deformed fermion oscillators

TL;DR

This paper compares four types of q-deformed fermionic oscillators, analyzing their algebraic structures, representations, and thermodynamics, with a detailed focus on the VPJC model and its potential physical applications.

Contribution

It provides a comprehensive comparison of four fermionic q-oscillator models, highlighting their differences, similarities, and detailed analysis of the VPJC model's Fock space.

Findings

Differences and similarities among four fermionic q-oscillator models

Detailed Fock space analysis of the VPJC model

Potential physical applications discussed

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.