SU（1，1）李代数玻色算符正规和反正规乘积的简单实现

朱燕娟, 沈德元

本文研究SU(1.1)压缩相干态在简并参量放大和非简谐振子这两种非线性介质模型中的演化规律。研究结果表明:在简并参量放大中,SU(1.1)压缩相干态保持并增强压缩效应;在非简谐振子模型中,它的压缩效应随时间变化而迅速消失,在这两种非线性光学介质模型中.SU(1.1)压缩相干态保持光子聚束效应。

Constança Providência, João da Providência, Y. Tsue +1 more

The two-level pairing model obeying the su(2) ⊗ su(2)-algebra, which was discussed in a previous paper, is re-formed in the framework of the su(1,1) ⊗ su(1,1)-algebra in the Schwinger boson representation. With the aid of the MYT mapping method, the Schwinger boson representation is reduced to the Holstein-Primakoff boson representation, which is expressed in terms of two kinds of bosons. Further, with the aid of the squeezed coherent state, the classical counterpart is obtained.

刘汉俊, 柳盛曲

Y. Tsue, Constança Providência, João da Providência +1 more

Standing on the results for the minimum weight states obtained in the previous paper (I), an idea how to construct the linearly independent basis is proposed for the su(n)-Lipkin model. This idea starts in setting up m independent su(2)-subalgebras in the cases with n=2m and n=2m+1 (m=2,3,4,...). The original representation is re-formed in terms of the spherical tensors for the su(n)-generators built under the su(2)-subalgebras. Through this re-formation, the su(m)-subalgebra can be found. For constructing the linearly independent basis, not only the su(2)-algebras but also the su(m)-subalgebra play a central role. Some concrete results in the cases with n=2, 3, 4 and 5 are presented.

金硕, 薛康

李光华