Open AccessOn the motion of microscopic bodies and observation of position in quantum theory
Author(s) -
Alexey A. Kryukov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1239/1/012022
Subject(s) - classical mechanics , quantum , physics , hilbert space , motion (physics) , meaning (existential) , space (punctuation) , position (finance) , statistical physics , mathematics , quantum mechanics , philosophy , finance , economics , linguistics , epistemology
Newtonian and Scrödinger dynamics can be formulated in a physically meaningful way within the same Hilbert space framework. The resulting unexpected relation between classical and quantum motions goes beyond the results provided by the Ehrenfest theorem. The normal probability distribution and the Born rule turn out to be related. Here a dynamical mechanism responsible for the latter formula is proposed and applied to measurements of macroscopic and microscopic systems. A new meaning of the wave function collapse is proposed. The results are used to explore the classical behavior of macroscopic bodies in quantum theory.