Bohmian trajectories and quantum phase space distributions

Details Bohmian trajectories and quantum phase space distributions Bohmian trajectories and quantum phase space distributions

2002-08-26

arxiv.org/abs/quant-ph/0208156v1

Phys. Lett. A 302 (2002) 261-272

Physics

Quantum Physics

12 pages, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(02)01175-1

We prove that most quasi-distributions can be written in a form similar to that of the de Broglie-Bohm distribution, except that ordinary products are replaced by some suitable non-commutative star product. In doing so, we show that the Hamilton-Jacobi trajectories and the concept of "classical pure state" are common features to all phase space formulations of quantum mechanics. Furthermore, these results provide an explicit quantization prescription for classical distributions.

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