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Titlebook: Generated Dynamics of Markov and Quantum Processes; Martin Janßen Textbook 2016 Springer-Verlag Berlin Heidelberg 2016 Generated Stochasti

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发表于 2025-3-21 19:24:52 | 显示全部楼层 |阅读模式
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Titlebook: Generated Dynamics of Markov and Quantum Processes;  Martin Janßen Textbook 2016 Springer-Verlag Berlin Heidelberg 2016 Generated Stochasti
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
doihttps://doi.org/10.1007/978-3-662-49696-1
isbn_softcover978-3-662-57028-9
isbn_ebook978-3-662-49696-1
copyrightSpringer-Verlag Berlin Heidelberg 2016
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发表于 2025-3-22 00:11:11 | 显示全部楼层
Agneta Nilsson,Jan Bosch,Christian BergerIn physical modeling one faces almost contradictory requirements. We want to catch up with reality, but by definite notions and mathematical relations.
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Martin JanßenFeatures 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
发表于 2025-3-22 12:13:15 | 显示全部楼层
https://doi.org/10.1007/978-3-662-49696-1Generated Stochastic Processes; One-Step Unitary Operators; Markov Processes; Control Reversibility; Unc
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Omar Licandro,Luis A. Puch,Jesús Ruiznsity operators) included with compact and flexible ways of calculation. We introduce the notion of entropy as a dispersion measure and consider its time evolution in Markov and quantum processes. We consider limits of stationarity and cross-over between different types of dynamics by taking system
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