The non-negativity of probabilities and the collapse of state

2002/11/11 by Slobodan Prvanovic, Slobodan Prvanović, Prvanovic, Slobodan
Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #Economic Theory and Institutions #FOS: Physical sciences #Political Economy and Marxism #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0211058

Revised according to suggestions of the referee

openalex publication_date 2002/11/11 · arxiv created 2003/07/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamical equation of hybrid systems, being the combination of Schrödinger and Liouville equations, produces noncausal evolution when the initial state of interacting quantum and classical mechanical systems is as it is demanded in discussions regarding the problem of measurement. It is found that state of quantum mechanical system instantaneously collapses due to the non-negativity of probabilities.

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