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Can the Schro ̈dinger dynamics explain measurement?

Kryukov, Alexey (2023) Can the Schro ̈dinger dynamics explain measurement? Journal of Physics.


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The motion of a ball through an appropriate lattice of round obstacles models the behavior of a Brownian particle and can be used to describe measurement on a macro system. On another hand, such motion is chaotic and a known conjecture asserts that the Hamiltonian of the corresponding quantum system must follow the random matrix statistics of an appropriate ensemble. We use the Hamiltonian represented by a random matrix in the Gaussian unitary ensemble to study the Schro ̈dinger evolution of non-stationary states. For Gaussian states representing a classical system, the Brownian motion that describes the behavior of the system under measurement is obtained. For general quantum states, the Born rule for the probability of transition between states is derived. It is then shown that the Schro ̈dinger evolution with such a Hamiltonian models measurement on macroscopic and microscopic systems, provides an explanation for the classical behavior of macroscopic bodies and for irreversibility of a measurement, and identifies the boundary between micro and macro worlds.

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Item Type: Published Article or Volume
Depositing User: Alexey Kryukov
Date Deposited: 15 Feb 2024 02:15
Last Modified: 15 Feb 2024 02:15
Item ID: 23084
Journal or Publication Title: Journal of Physics
Official URL:
DOI or Unique Handle: J. Phys.: Conf. Ser. 2533 012023
Date: 2023

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