A Role of the Quasiparticle in the Conservation of the Fermion Number

TL;DR

This paper explores how quasiparticles influence fermion number conservation, using algebraic methods to illustrate their role in deforming Cooper pairs within the BCS-Bogoliubov framework.

Contribution

It introduces a quasiparticle concept that guides the deformation of Cooper pairs and demonstrates su(1,1)-like behavior in a fermion system.

Findings

Quasiparticles serve as a guide for Cooper-pair deformation.

The system exhibits su(1,1)-like algebraic behavior.

Illustrative example confirms the quasiparticle's role in fermion number conservation.

Abstract

The role of the "quasiparticle" introduced in last paper by the present authors is discussed. It serves as a guide for the deformation of the Cooper-pair in the BCS-Bogoliubov approach. As an illustrative example, a certain case is treated. This case produces the su(1,1)-like behavior in the su(2)-algebraic many-fermion system.