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

作者:Tsue Yasuhiko*; Providencia Constanca; da Providencia Joao; Yamamura Masatoshi
来源:Progress of Theoretical and Experimental Physics, 2015, 2015(6): 063D01.
DOI:10.1093/ptep/ptv069

摘要

A 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 the 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, a third boson is introduced. Through this examination, it is concluded that this representation is very workable for the boson realization of the Lipkin model in any fermion number.

  • 出版日期2015-6