Hybrid modeling of quasi-particles: Algebra, Fock space and condensation

In this study, we first introduce a new quasi-particle algebra, which enables us to effectively describe a unified framework for both bosons and fermions. We then study general thermodynamical and statistical properties of a hybrid-type gas model of these quasi-particles. In this context, we specifically focus on the conditions under which the hybrid-type quasi-particle gas condensation would occur in the present model. The results obtained in this work reveal that the present gas model of quasi-particles can be used to approximate non-linear behavior observed in composite particle systems such as in studies on the phenomenon of high-Tc superconductivity in a given material.