Bohmian Classical Limit in Bounded Regions

In Felline Laura & L. Felline A. Paoli F. Ledda E. Rossanese (eds.), New Directions in Logic and the Philosophy of Science (SILFS proceedings, vol. 3). College Publications. pp. 303-317 (2016)
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Abstract

Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good candidate for recovering the classical limit of quantum theory. Indeed, in a Bohmian framework, the issue of the classical limit reduces to showing how classical trajectories can emerge from Bohmian ones, under specific classicality assumptions. In this paper, we shall focus on a technical problem that arises from the dynamics of a Bohmian system in bounded regions; and we suggest that a possible solution is supplied by the action of environmental decoherence. However, we shall show that, in order to implement decoherence in a Bohmian framework, a stronger condition is required rather than the usual one.

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Davide Romano
Institut Néel-CNRS, Université Grenoble Alps

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