书目名称 | Generated Dynamics of Markov and Quantum Processes | 编辑 | Martin Janßen | 视频video | | 概述 | Features the basics of stochastic systems and their dynamics.Includes applications of methods of stochastic processes in other fields, for example econophysics or economathematics and engineering.Pres | 图书封面 |  | 描述 | .This book presents Markov and quantum processes as two sides of a coin called generated stochastic processes. It deals with quantum processes as reversible stochastic processes generated by one-step unitary operators, while Markov processes are irreversible stochastic processes generated by one-step stochastic operators. The characteristic feature of quantum processes are oscillations, interference, lots of stationary states in bounded systems and possible asymptotic stationary scattering states in open systems, while the characteristic feature of Markov processes are relaxations to a single stationary state. Quantum processes apply to systems where all variables, that control reversibility, are taken as relevant variables, while Markov processes emerge when some of those variables cannot be followed and are thus irrelevant for the dynamic description. Their absence renders the dynamic irreversible...A further aim is to demonstrate that almost any subdiscipline of theoretical physics can conceptually be put into the context of generated stochastic processes. Classical mechanics and classical field theory are deterministic processes which emerge when fluctuations in relevant varia | 出版日期 | Textbook 2016 | 关键词 | Generated Stochastic Processes; One-Step Unitary Operators; Markov Processes; Control Reversibility; Unc | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-49696-1 | isbn_softcover | 978-3-662-57028-9 | isbn_ebook | 978-3-662-49696-1 | copyright | Springer-Verlag Berlin Heidelberg 2016 |
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