Abstract
The role of the environment 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. One of the effects of the interaction is to produce a 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 longer time-scale. The relationship between this phenomenon and the behaviour of the Wigner function post-decoherence is discussed.
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Appleby, D.M. Bohmian Trajectories Post-Decoherence. Foundations of Physics 29, 1885–1916 (1999). https://doi.org/10.1023/A:1018894417888
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DOI: https://doi.org/10.1023/A:1018894417888