Generated Dynamics of Markov and Quantum Processes

Name: Generated Dynamics of Markov and Quantum Processes
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783662496947
Price: 19334 HUF
Availability: InStock

Szerző: Martin Janßen

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Elérhetőség: Beszállítói készleten

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This book presents Markov and quantum processes as two§sides of a coin called generated stochastic p...

Információk a könyvről

Szerző

Martin Janßen

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2016

oldal

226

EAN

9783662496947

ISBN

3662496941

Enbook ID

02937115

Kiadó

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Súly

528

Méretek

244 x 166 x 19

Teljes leírás

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 variables are negligible. Quantum§mechanics and quantum field theory consider genuine quantum processes.§Equilibrium and non-equilibrium statistics apply to the regime where relaxing§Markov processes emerge from quantum processes by omission of a large number of§uncontrollable variables. Systems with many variables often self-organize in§such a way that only a few slow variables can serve as relevant variables.§Symmetries and topological classes are essential in identifying such relevant§variables.§§The§third aim of this book is to provide conceptually general methods of solutions§which can serve as starting points to find relevant variables as to apply best-practice approximation methods. Such methods are available through generating§functionals.§§The potential reader is a graduate student who§has heard already a course in quantum theory and equilibrium statistical§physics including the mathematics of spectral analysis (eigenvalues,§eigenvectors, Fourier and Laplace transformation). The reader should be open§for a unifying look on several topics.

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Generated Dynamics of Markov and Quantum Processes

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