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arXiv · 1510.02746

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

Charlyne de Gosson·Maurice de Gosson
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Abstract

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.

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Charlyne de Gosson, Maurice de Gosson. 2015-10-09. The Phase Space Formulation of Time-Symmetric Quantum Mechanics, I: the Wigner Formalism. https://arxiv.org/abs/1510.02746

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