Email this article Nonlinear dynamics of open quantum systems
- Authors: Samarin A.Y.1
-
Affiliations:
- Samara State Technical University
- Issue: Vol 22, No 2 (2018)
- Pages: 214-224
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20581
- DOI: https://doi.org/10.14498/vsgtu1582
- ID: 20581
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Abstract
The evolution of a composite closed system using the integral wave equation with the kernel in the form of path integral is considered. It is supposed that a quantum particle is a subsystem of this system. The evolution of the reduced density matrix of the subsystem is described on the basis of the integral wave equation for a composite closed system. The equation for the density matrix for such a system is derived. This equation is nonlinear and depends on the history of the processes in the closed system. It is shown that, in general, the reduced density matrix trace does not conserve in the evolution processes progressing in open systems and the procedure of the trace normalization is necessary as the mathematical image of a real nonlocal physical process. The wave function collapse and EPR correlation are described using this approach.
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##article.viewOnOriginalSite##About the authors
Alexey Yu Samarin
Samara State Technical University
Email: samarinay@yahoo.com
Cand. Phys. & Math. Sci.; Associate Professor; Dept. of General Physics and Physics of Oil and Gas Production 244, Molodogvardeyskaya st., Samara, 443100, Russian Federation
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