Open AccessMathematics and physics of consistency of the Born rule with normal probability distribution
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 - 10.1088/1742-6596/1275/1/012050
Subject(s) - consistency (knowledge bases) , hilbert space , statistical physics , probability distribution , distribution (mathematics) , mathematics , space (punctuation) , quantum , dynamical systems theory , relation (database) , physics , classical mechanics , pure mathematics , quantum mechanics , mathematical analysis , computer science , discrete mathematics , statistics , database , operating system
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. A dynamical mechanism responsible for the latter formula is proposed and applied to measurements of macroscopic and microscopic systems.