Baker-Campbell-Hausdorff relations and unitarity of SU(2) and SU(1,1) squeeze operators.
Baker-Campbell-Hausdorff relations and unitarity of SU(2) and SU(1,1) squeeze operators.
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DOI：
10.1103/physrevd.31.1988
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发表时间：
1985-04
期刊：
影响因子：
--
通讯作者：
D. Truax
中科院分区：
文献类型：
--
作者：
D. Truax
对于压缩算子，本文给出了SU（2）和SU（1，1）群的Baker-Campbell-Hausdorff关系的矩阵导子的另一种形式.该技术涉及非线性一阶微分方程系统的解。通过这种方法，建立了表示的酉性准则，这些准则适用于这些群的无限维和有限维表示。
For squeeze operators, an alternative to the matrix derivations of Baker-Campbell-Hausdorff relations is presented for the groups SU(2) and SU(1,1). The technique involves the solution of a system of nonlinear, first-order differential equations. By this method, criteria for unitarity of the representations are established, and these apply to both infinite- and to finite-dimensional representations of these groups.