# On observation of position in quantum theory

Kryukov, Alexey (2018) On observation of position in quantum theory. [Preprint]

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## Abstract

Newtonian and Scr{\"o}dinger dynamics can be formulated in a physically meaningful way within the same Hilbert space framework. This fact was recently used to discover an unexpected relation between classical and quantum motions that goes beyond the results provided by the Ehrenfest theorem. A formula relating the normal probability distribution and the Born rule was also found. Here the dynamical mechanism responsible for the latter formula is proposed and applied to measurements of macroscopic and microscopic systems. A relationship between the classical Brownian motion and the diffusion of state on the space of states is discovered. The role of measuring devices in quantum theory is investigated in the new framework. It is shown that the so-called collapse of the wave function is not measurement specific and does not require a concentration" near the eigenstates of the measured observable. Instead, it is explained by the common diffusion of state over the space of states under interaction with the apparatus and the environment. This in turn provides us with a basic reason for the definite position of macroscopic bodies in space.

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Item Type: Preprint
Creators:
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Kryukov, Alexey
Additional Information: Based on a JMP paper by the author (A. Kryukov, {\it J. Math. Phys.} {\bf 52} 082103 (2017)).
Keywords: measurement problem, collapse of wave function, preferred basis, diffusion of quantum state, decoherence
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Alexey Kryukov
Date Deposited: 14 Mar 2018 21:11
Item ID: 14458
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 13 March 2018
URI: http://philsci-archive.pitt.edu/id/eprint/14458