Bohmian Trajectories Post-Decoherence

dc.creatorAppleby, D. M.
dc.date1999-08-08
dc.date.accessioned2026-07-07T06:16:52Z
dc.date.available2026-07-07T06:16:52Z
dc.descriptionThe proposal that the interaction between a macroscopic body and its environment plays a crucial role in producing the correct classical limit in the Bohm interpretation of quantum mechanics is investigated, in the context of a model of quantum Brownian motion. It is well known that one of the effects of the interaction is to produce an extremely rapid approximate diagonalisation of the reduced density matrix in the position representation. This effect is, by itself, insufficient to produce generically quasi-classical behaviour of the Bohmian trajectory. However, it is shown that, if the system particle is initially in an approximate energy eigenstate, then there is a tendency for the Bohmian trajectory to become approximately classical on a rather longer time-scale. The relationship between this phenomenon and the behaviour of the Wigner function post-decoherence (as analysed by Halliwell and Zoupas) is discussed. It is also suggested that the phenomenon may be related to the storage of information about the trajectory in the environment, and that it may therefore be a general feature of every situation in which such environmental monitoring occurs.
dc.description21 pages, AMS Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9908029
dc.identifierhttp://arxiv.org/abs/quant-ph/9908029
dc.identifierFound.Phys. 29 (1999) 1885-1916
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94209
dc.subjectQuantum Physics
dc.titleBohmian Trajectories Post-Decoherence
dc.typetext

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