Two-Level Lipkin Model in Unconventional Boson Realization
Nuclear Theory
2010-07-09 v1
Abstract
With the aim of applying to the Lipkin model in the case of open shell system, a possible form of the boson realization for the su(2)-algebra is proposed both in the Schwinger and the Holstein-Primakoff representation. The basic idea is borrowed from the Schwinger boson realization for the su(4)-algebra for many-quark system recently presented by the present authors. As the simplest approximation, a certain approximate form is given and the result is a natural generalization of the RPA result in the case of closed shell system.
Keywords
Cite
@article{arxiv.1007.1302,
title = {Two-Level Lipkin Model in Unconventional Boson Realization},
author = {Y. Tsue and C. Providencia and J. da Providencia and M. Yamamura},
journal= {arXiv preprint arXiv:1007.1302},
year = {2010}
}
Comments
26 pages, 11 figures