非常规玻色子实现中的两能级Lipkin模型
Two-Level Lipkin Model in Unconventional Boson Realization
摘要：
为了应用于开壳层系统的Lipkin模型，提出了su（2）-代数玻色子实现在Schwinger和Holstein-Primakoff表象下的一种可能形式.其基本思想是借鉴了作者最近提出的多夸克系统su（4）-代数的Schwinger玻色子实现。作为最简单的近似，给出了一种近似形式，其结果是RPA结果在闭壳系统情况下的自然推广。
英文摘要：
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.
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