Kryukov, Alexey A (2017) On the motion of macroscopic bodies in quantum theory. [Preprint]

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Abstract

Quantum observables can be identified with vector fields on the sphere of normalized states. The resulting {\it vector representation} is used in the paper to undertake a simultaneous treatment of macroscopic and microscopic bodies in quantum mechanics. Components of the velocity and acceleration of state under Schr{\"o}dinger evolution are given a clear physical interpretation. Solutions to Schr{\"o}dinger and Newton equations are shown to be related beyond the Ehrenfest results on the motion of averages. A formula relating the normal probability distribution and the Born rule is found.

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Item Type:	Preprint
Creators:	Creators Email ORCID Kryukov, Alexey A alexey.kryukov@uwc.edu
Additional Information:	Accepted for publication in Journal of Mathematical Physics
Keywords:	measurement problem, Hilbert space, Born rule, reproducing kernel Hilbert space
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Alexey Kryukov
Date Deposited:	18 Jul 2017 14:49
Last Modified:	18 Jul 2017 14:49
Item ID:	13222
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	17 July 2017
URI:	https://philsci-archive.pitt.edu/id/eprint/13222

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