1999/10/05 by S. Prvanovic, Slobodan Prvanović, Z. Marić +5
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/9910020
18 pages, no figures
arxiv created 1999/10/05 · openalex publication_date 1999/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The basic concepts of classical mechanics are given in the operator form. Then, the hybrid systems approach, with the operator formulation of both quantum and classical sector, is applied to the case of an ideal nonselective measurement. It is found that the dynamical equation, consisting of the Schrödinger and Liouville dynamics, produces noncausal evolution when the initial state of measured system and measuring apparatus is chosen to be as it is demanded in discussions regarding the problem of measurement. Nonuniqueness of possible realizations of transition from pure noncorrelated to mixed correlated state is analyzed in details. It is concluded that collapse of state is the only possible way of evolution of physical systems in this case.