arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0001002quant-ph
收藏

su(1,1)李代数的相干态、位移数态和Laguerre多项式态

Coherent states, displaced number states and Laguerre polynomial states for su(1,1) Lie algebra

Xiao-Guang Wang

摘要:

得到了su(1,1)李代数一般量子态的梯形算符形式。态具有一般变形的振子代数结构。发现Perelomov相干态是一个su(1,1)非线性相干态。给出了非线性相干态的展开式和指数形式。利用超几何函数得到了su(1,1)位移算符的矩阵元,并得到了位移数态和Laguerre多项式态的展开式.最后讨论了一些有趣的su(1,1)光学系统。

英文摘要:

The ladder operator formalism of a general quantum state for su(1,1) Lie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Perelomov's coherent state is a su(1,1) nonlinear coherent state. The expansion and the exponential form of the nonlinear coherent state are given. We obtain the matrix elements of the su(1,1) displacement operator in terms of the hypergeometric functions and the expansions of the displaced number states and Laguerre polynomial states are followed. Finally some interesting su(1,1) optical systems are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑