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Emergence of Classical Dynamics from a Random Matrix Schr\"odinger Model

Kryukov, Alexey (2026) Emergence of Classical Dynamics from a Random Matrix Schr\"odinger Model. Physics Letters A, 589.

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Abstract

The Newtonian motion of a macroscopic particle is derived from the linear Schr\"odinger equation with a Hamiltonian consisting of the free-particle term and a random Hamiltonian drawn from the Gaussian Unitary Ensemble. The random term models interaction with the environment. We show that the parameters governing the resulting state-space random walk, together with the treatment of experimentally indistinguishable states as equivalence classes, explain the contrasting behavior of microscopic and macroscopic systems. The analysis extends previous work deriving the Born rule for microscopic particles when the free-particle term is negligible.

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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Kryukov, Alexeykryukov@uwm.edu
Keywords: measurement problem, quantum-to-classical transition, random matrices
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Alexey Kryukov
Date Deposited: 29 May 2026 12:33
Last Modified: 29 May 2026 12:33
Item ID: 29778
Journal or Publication Title: Physics Letters A
Publisher: Elsevier
DOI or Unique Handle: https://doi.org/10.1016/j.physleta.2026.131791
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Date: 18 May 2026
Volume: 589
URI: https://philsci-archive.pitt.edu/id/eprint/29778

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