On Coherent-State Representations of Quantum-Mechanics - Wave Mechanics in Phase-Space
On Coherent-State Representations of Quantum-Mechanics - Wave Mechanics in Phase-Space
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DOI：
10.1063/1.473684
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发表时间：
1997-05
影响因子：
4.4
通讯作者：
K. B. Møller;T. G. Jørgensen;G. Torres-Vega
中科院分区：
文献类型：
--
作者：
K. B. Møller;T. G. Jørgensen;G. Torres-Vega
在本文中，我们认为 Torres-Vega 及其同事最近提出的状态向量相空间表示[在《J. Chem.》中介绍。物理。 98, 3103 (1993)] 与 Heisenberg-Weyl 群的相干态表示的总体一致。当人们想要求解相空间中的平稳薛定谔方程时，这一事实会导致歧义，我们设计了两种方案来消除这些歧义。讨论了相空间波函数的物理解释，并提出了将期望值计算为相空间积分的过程。我们的正式观点通过两个例子来说明。
In this article we argue that the state-vector phase-space representation recently proposed by Torres-Vega and co-workers [introduced in J. Chem. Phys. 98, 3103 (1993)] coincides with the totality of coherent-state representations for the Heisenberg-Weyl group. This fact leads to ambiguities when one wants to solve the stationary Schrodinger equation in phase space and we devise two schemes for the removal of these ambiguities. The physical interpretation of the phase-space wave functions is discussed and a procedure for computing expectation values as integrals over phase space is presented. Our formal points are illustrated by two examples.