Jacobi群与压缩态--一些评论
The Jacobi group and the squeezed states - some comments
摘要：
附加在雅可比群上的广义相干态实现了压缩态。通过对Jacobi代数的生成元施加厄米共轭，得到了标量积中出现的权函数的形式。我们有效地证明了基函数关于标量积的正交性。从再生核的显式形式出发，我们得到了雅可比群的全纯表示中乘子的表达式。
英文摘要：
The generalized coherent states attached to the Jacobi group realize the squeezed states. Imposing hermitian conjugacy to the generators of the Jacobi algebra, we find out the form of the weight function appearing in the scalar product. We show effectively the orthonormality of the base functions with respect to the scalar product. From the explicit form of the reproducing kernel, we find out the expression of the multiplier in a holomorphic representation of the Jacobi group.
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。
