Generated Dynamics of Markov and Quantum Processes
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 irre
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Generated Dynamics of Markov and Quantum Processes
Generated Dynamics of Markov and Quantum Processes
Martin Janßen
Generated Dynamics of Markov and Quantum Processes
123
Martin Janßen Institut für Theoretische Physik Universität zu Köln Köln Germany
ISBN 978-3-662-49694-7 DOI 10.1007/978-3-662-49696-1
ISBN 978-3-662-49696-1
(eBook)
Library of Congress Control Number: 2016937355 © Springer-Verlag Berlin Heidelberg 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer-Verlag GmbH Berlin Heidelberg
So then we just hack it all apart, take out all the complicated bits, and keep it simple Ritchie Blackmore
To Lucia
Preface
Theoretical physics evolved from Newton’s mechanics to a general theory for modeling dynamical systems. Theoretical physicists not only earn their income by investigating traditional physical systems like particles, condensed matter and star systems, but also by applying their modeling skills on economics, informatics, medicine, psychology, biology, environment, climate, language and sociology. This is to a substantial part caused by a very flexible toolbox theoretical physicists learn to use. It is this toolbox which makes physics a science with strong impact on man and nature. This book is about the organization of this toolbox. Though, it is intended as a little entertaining piece of natural philosophy and not as a nosh for the military-industrial complex. The central aim of this book is to present Markov and quantum processes as two sides of a coin called generated stochastic processes. Quantum processes are reversible stochastic processes generated by one-step unitary operators while Markov processes are irreversible stochastic processes generated by one-step stochastic operators. The characteristic features of quantum processes are oscillations, interference, lots of stationary states in bounded systems and possible asymptotic s
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