Kryukov, Alexey (0025) Emergence of Classical Dynamics from a Random Matrix Schr{\"o}dinger Model. [Preprint]

Text whyNewtonPRL1.pdf Download (254kB)

Abstract

The Newtonian motion of a macroscopic particle is derived from the linear Schr{\"o}dinger 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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Kryukov, Alexey kryukov@uwm.edu
Keywords:	measurement problem, quantum-to-classical transition
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Alexey Kryukov
Date Deposited:	15 Dec 2025 20:15
Last Modified:	15 Dec 2025 20:15
Item ID:	27466
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	12 December 0025
URI:	https://philsci-archive.pitt.edu/id/eprint/27466

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item