A decoherence-based approach to the classical limit in Bohm's theory

Foundations of Physics 53 (41):1-27 (2023)
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Abstract

The paper explains why the de Broglie-Bohm theory reduces to Newtonian mechanics in the macroscopic classical limit. The quantum-to-classical transition is based on three steps: (i) interaction with the environment produces effectively factorized states, leading to the formation of effective wave functions and hence decoherence; (ii) the effective wave functions selected by the environment–the pointer states of decoherence theory–will be well-localized wave packets, typically Gaussian states; (iii) the quantum potential of a Gaussian state becomes negligible under standard classicality conditions; therefore, the effective wave function will move according to Newtonian mechanics in the correct classical limit. As a result, a Bohmian system in interaction with the environment will be described by an effective Gaussian state and–when the system is macroscopic–it will move according to Newtonian mechanics.

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Author's Profile

Davide Romano
Institut Néel-CNRS, Université Grenoble Alps

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Multi-field and Bohm’s theory.Davide Romano - 2020 - Synthese (11):29 June 2020.
Preparation in Bohmian Mechanics.Carlo Rovelli - 2022 - Foundations of Physics 52 (3):1-6.
On some early objections to Bohm's theory.Wayne C. Myrvold - 2003 - International Studies in the Philosophy of Science 17 (1):7 – 24.

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