标题： 时间对称量子力学的相空间表述，I：维格纳形式主义 显示英文标题

标题： The Phase Space Formulation of Time-Symmetric Quantum Mechanics, I: the Wigner Formalism

摘要： 时间对称量子力学可以用通常的 Weyl-Wigner-Moyal 形式化方法（WWM）来描述，利用 Wigner 分布及其推广形式——交叉 Wigner 分布的性质。后者的使用清晰地揭示了先验和后验态之间的强烈振荡干涉。这种方法使我们能够给出状态重建问题的显式公式，从而将已知结果推广到任意可观测量的情况。在即将发表的论文中，我们将把这些结果扩展到其他量子化方案中。 显示英文摘要

摘要： Time-symmetric quantum mechanics can be described in the usual Weyl--Wigner--Moyal formalism (WWM) by using the properties of the Wigner distribution, and its generalization, the cross-Wigner distribution. The use of the latter makes clear a strongly oscillating interference between the pre- and post-selected states. This approach allows us to give explicit formulas for the state reconstruction problem, thus generalizing known results to the case of arbitrary observables. In a forthcoming paper we will extend these results to other quantization schemes.