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Generated Dynamics of Markov and Quantum Processes - Martin Janßen
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Martin Janßen:

Generated Dynamics of Markov and Quantum Processes - neues Buch

2016, ISBN: 3662496941

ID: 19210116548

[EAN: 9783662496947], Neubuch, [SC: 8.38], [PU: Springer-Verlag Gmbh Mai 2016], FINANZMATHEMATIK; MATHEMATIK / TECHNIK ALLGEMEINES, EINFÜHRUNG, LEXIKON; SCIENCE PHYSICS MATHEMATICAL & COMPUTATIONAL, Neuware - 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. 226 pp. Englisch

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Generated Dynamics of Markov and Quantum Processes - Martin Janssen
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Martin Janssen:

Generated Dynamics of Markov and Quantum Processes - neues Buch

2016, ISBN: 9783662496947

ID: 716900849

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. Generated Dynamics of Markov and Quantum Processes Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 09.05.2016 Buch (fremdspr.), Springer, .201

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Generated Dynamics of Markov and Quantum Processes - Martin Janßen
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Martin Janßen:
Generated Dynamics of Markov and Quantum Processes - neues Buch

ISBN: 9783662496947

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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 identify, Neuware, gewerbliches Angebot, 244x159x20 mm, [GW: 523g]

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Generated Dynamics of Markov and Quantum Processes - Martin Janßen
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Martin Janßen:
Generated Dynamics of Markov and Quantum Processes - gebunden oder broschiert

ISBN: 9783662496947

ID: 9783662496947

This book presents Markov and quantum processes as two Generated Dynamics of Markov and Quantum Processes: This book presents Markov and quantum processes as two Finanzmathematik Mathematik / Finanzmathematik Technik / Allgemeines, Einführung, Lexikon SCIENCE / Physics / Mathematical & Computational, Springer-Verlag Gmbh

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Generated Dynamics of Markov and Quantum Processes - Martin Janßen
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Martin Janßen:
Generated Dynamics of Markov and Quantum Processes - gebunden oder broschiert

2016, ISBN: 9783662496947

ID: 34460661

1st ed. 2016, Hardcover, Buch, [PU: Springer Berlin]

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