Stochastic Processes In Quantum Physics
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Stochastic Processes In Quantum Physics
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Author : Masao Nagasawa
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Stochastic Processes In Quantum Physics written by Masao Nagasawa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"Stochastic Processes in Quantum Physics" addresses the question 'What is the mathematics needed for describing the movement of quantum particles', and shows that it is the theory of stochastic (in particular Markov) processes and that a relativistic quantum particle has pure-jump sample paths while sample paths of a non-relativistic quantum particle are continuous. Together with known techniques, some new stochastic methods are applied in solving the equation of motion and the equation of dynamics of relativistic quantum particles. The problem of the origin of universes is discussed as an application of the theory. The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level, and some selected chapters can be used as (sub-)textbooks for advanced courses on stochastic processes, quantum theory and theoretical chemistry.
Stochastic Methods In Quantum Mechanics
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Author : Stanley P. Gudder
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
Stochastic Methods In Quantum Mechanics written by Stanley P. Gudder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Science categories.
This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.
Stochastic Processes
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Author : Wolfgang Paul
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-11
Stochastic Processes written by Wolfgang Paul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-11 with Science categories.
This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.
Stochastic Mechanics And Stochastic Processes
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Author : Aubrey Truman
language : en
Publisher: Springer
Release Date : 2006-11-15
Stochastic Mechanics And Stochastic Processes written by Aubrey Truman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The main theme of the meeting was to illustrate the use of stochastic processes in the study of topological problems in quantum physics and statistical mechanics. Much discussion of current problems was generated and there was a considerable amount of interaction between mathematicians and physicists. The papers presented in the proceedings are essentially of a research nature but some (Lewis, Hudson) are introductions or surveys.
Markov Processes And Quantum Theory
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Author : Masao Nagasawa
language : en
Publisher: Springer Nature
Release Date : 2021-06-23
Markov Processes And Quantum Theory written by Masao Nagasawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Computers categories.
This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given. Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.
Stochastic Processes In Physics And Chemistry
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Author : N.G. Van Kampen
language : en
Publisher: Elsevier
Release Date : 2011-08-30
Stochastic Processes In Physics And Chemistry written by N.G. Van Kampen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Science categories.
The third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant.C.W.Gardiner, Quantum Optics (Springer, Berlin 1991)D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992)W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004) - Comprehensive coverage of fluctuations and stochastic methods for describing them - A must for students and researchers in applied mathematics, physics and physical chemistry
Stochastic Processes
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Author : Wolfgang Paul
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Stochastic Processes written by Wolfgang Paul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Business & Economics categories.
The book is an introduction to stochastic processes with applications from physics and finance. It introduces the basic notions of probability theory and the mathematics of stochastic processes. The applications that we discuss are chosen to show the interdisciplinary character of the concepts and methods and are taken from physics and finance. Due to its interdisciplinary character and choice of topics, the book can show students and researchers in physics how models and techniques used in their field can be translated into and applied in the field of finance and risk-management. On the other hand, a practitioner from the field of finance will find models and approaches recently developed in the emerging field of econophysics for understanding the stochastic price behavior of financial assets.
Nonlocal Quantum Field Theory And Stochastic Quantum Mechanics
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Author : K.H. Namsrai
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlocal Quantum Field Theory And Stochastic Quantum Mechanics written by K.H. Namsrai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.
Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2019-08-30
Path Integrals In Physics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with categories.
Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Path Integrals In Physics
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Author : Masud Chaichian
language : en
Publisher:
Release Date : 2001
Path Integrals In Physics written by Masud Chaichian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.