Mapping of classical canonical transformations to quantum unitary operators.
Mapping of classical canonical transformations to quantum unitary operators.
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DOI：
10.1103/physreva.39.2987
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发表时间：
1989-03
期刊：
影响因子：
--
通讯作者：
Hong-yi;Vanderlinde
中科院分区：
文献类型：
--
作者：
Hong-yi;Vanderlinde
将坐标-动量相空间中的经典线性变换映射到希尔伯特空间中的幺正量子力学算符，从而得到挤压算符的推广。经典到量子的跃迁在推导中是明显的。在单模和双模情况下，利用“有序积内积分”技术在相干态表示中求出幺正算子。这些算子的应用得到了相干态的一种新的推广。
Classical linear transformations in coordinate-momentum phase space are mapped to unitary quantum-mechanical operators in Hilbert space to produce a generalization of squeeze operators. The classical to quantum transition is manifestly apparent in the derivation. The unitary operators are evaluated in the coherent-state representation using the ‘‘integration within ordered products’’technique in the one-and two-mode cases. Application of these operators results in a new generalization of coherent states.