A possible framework of the Lipkin model obeying the SU(n) algebra in aribitrary fermion number. I
A possible framework of the Lipkin model obeying the SU(n) algebra in aribitrary fermion number. I
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服从任意费米子数的 SU(n) 代数的 Lipkin 模型的可能框架。
DOI：
10.1093/ptep/ptw101
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发表时间：
2016
影响因子：
3.5
通讯作者：
J. da Providencia and M. Yamamura
中科院分区：
文献类型：
--
作者：
Y. Tsue;C. Providencia;J. da Providencia and M. Yamamura
系统地研究了由单粒子能级组成且服从代数的Lipkin模型的最小权状态。基本思想是使用代数，它独立于代数。本作者已经在由两个单粒子水平组成并服从代数的传统 Lipkin 模型的情况下提出了这个想法。如果遵循这个想法，则可以确定适当占据单粒子能级的任何费米子数的最小权重状态。当然，传统的最小重量状态也包括在内：在没有相互作用的情况下，所有费米子在能量上占据最低的单粒子能级。对案例 3、4 和 5 进行了详细讨论。
The minimum weight states of the Lipkin model consisting ofsingle-particle levels and obeying thealgebra are investigated systematically. The basic idea is to use thealgebra, which is independent of thealgebra. This idea has already been presented by the present authors in the case of the conventional Lipkin model consisting of two single-particle levels and obeying thealgebra. If this idea is followed, the minimum weight states are determined for any fermion number appropriately occupyingsingle-particle levels. Naturally, the conventional minimum weight state is included: all fermions occupy energetically the lowest single-particle level in the absence of interaction. The cases, 3, 4, and 5 are discussed in some detail.