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arXiv · 1603.03060

Bohmian Classical Limit in Bounded Regions

Davide Romano
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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 (disjointness of supports) rather than the usual one (orthogonality of states).

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Davide Romano. 2016-03-09. Bohmian Classical Limit in Bounded Regions. https://arxiv.org/abs/1603.03060

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