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arXiv · 1710.01154

On the motion of macroscopic bodies in quantum theory

Alexey A. Kryukov
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Abstract

Quantum observables can be identified with vector fields on the sphere of normalized states. The resulting 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\"odinger evolution are given for a clear physical interpretation. Solutions to Schr\"odinger 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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Alexey A. Kryukov. 2017-10-02. On the motion of macroscopic bodies in quantum theory. https://doi.org/10.1063/1.4990008

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