Operator Formulation of Classical Mechanics and the Problem of Measurement

1998/06/18 by S. Prvanovic, Slobodan Prvanović, Prvanovic, S. +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9806060

7 pages \tightenlines, RevTeX, typos corrected, one reference added, minor changes of wording

openalex publication_date 1998/06/18 · arxiv created 1998/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The basic concepts of classical mechanics are given in the operator form. The dynamical equation for a hybrid system, consisting of quantum and classical subsystems, is introduced and analyzed in the case of an ideal nonselective measurement. The nondeterministic evolution is found to be the consequence of the superposition of two different deterministic evolutions.

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