New boson realization of the Lipkin model obeying the su(2)-algebra

Abstract

New boson representation of the su(2)-algebra proposed by the present authors for describing the damped and amplified oscillator is examined in the Lipkin model as one of simple many-fermion models. This boson representation is expressed in terms of two kinds of bosons with a certain positive parameter. In order to describe the case of any fermion number, third boson is introduced. Through this examination, it is concluded that this representation is well workable for the boson realization of the Lipkin model in any fermion number.

7 pages, no figure

References in corpus (2)

• Beyond the Schwinger boson representation of the su(2)-algebra. I -- New boson representation based on the su(1,1)-algebra and its related problems with application
• Beyond the Schwinger boson representation of the su(2)-algebra. II -- Some theoretical features of new boson representation and connections to the other boson representations