arXiv:1710.01154 · Journal of Mathematical Physics

On the motion of macroscopic bodies in quantum theory

A. Kryukov

Published Aug 1, 2017• 5 citations

Abstract

Quantum observables can be identified with vector fields on the sphere of normalized states. The resulting vector representation is used in this paper to undertake a simultaneous treatment of macroscopic and microscopic bodies in quantum mechanics. Components of the velocity and acceleration of state under Schrödinger evolution are given for a clear physical interpretation. Solutions to Schrödinger 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.

DOI: 10.1063/1.4990008

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