0208156v1

related topics
{equation, function, exp}
{group, space, representation}
{field, particle, equation}
{classical, space, random}
{time, wave, function}
{operator, operators, space}
{observables, space, algebra}
{particle, mechanics, theory}
{let, theorem, proof}
{state, states, entangled}
{phase, path, phys}

Bohmian trajectories and quantum phase space distributions

Nuno Costa Dias, Joao Nuno Prata

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/0208156
categories:
quant-ph
comments:
12 pages, to appear in Phys. Lett. A
doi:
10.1016/S0375-9601(02)01175-1
arxiv_id:
quant-ph/0208156
journal_ref:
Phys. Lett. A 302 (2002) 261-272
created:
2002-08-26

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