Quantum Brownian Motion By Path Integral Mothod
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Path Integral Approach To Quantum Physics
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Author : Gert Roepstorff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Path Integral Approach To Quantum Physics written by Gert Roepstorff 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.
Specifically designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible, the book concentrates on the conceptual problems inherent in the path integral formalism. Throughout, the striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore, and all the methods of fundamental interest are generously illustrated by important physical examples.
Introduction To Path Integral Methods In Physics And Polymer Science
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Author : Frederik W. Wiegel
language : en
Publisher: World Scientific
Release Date : 1986
Introduction To Path Integral Methods In Physics And Polymer Science written by Frederik W. Wiegel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.
This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman. After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.
Path Integral Methods And Their Applications
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Author :
language : en
Publisher: Allied Publishers
Release Date : 2002
Path Integral Methods And Their Applications written by and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2001-07-01
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 2001-07-01 with Science 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 Integral Approach To Quactum Brownian Motion
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Author : Porncharoen Palotaidamkerng
language : en
Publisher:
Release Date : 1996
Path Integral Approach To Quactum Brownian Motion written by Porncharoen Palotaidamkerng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
The purpose of this thesis is to study the behavior of quantum Brownian motion by applying the Feynman-Vernon theory which was developed by using Feynman path integrals of non-relativistic quantum theory. By means of the Feyman-Vernon theory plus the specific model of a particle (Brownian particle) suspended in a heat bath of harmonic oscillators, we can describe all behaviors of a Brownian particle in terms of its parameters alone (not on parameters of the heat bath). All effects of the heat bath which influence the Brownian particle can be evaluated in closed form using a functional (the influence functional). Moreover, we can express it in terms of a few parameters such as the phenomenological viscosity coefficient. We also evaluate a reduced density matrix and its propagator which describes the behavior of the Brownian particle only. Finally, we can show that in the limit ħ→0 the result obtained from the Feynman-Vernon theory reduces to the classical result.
Quantum Brownian Motion In C Numbers
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Author : Debashis Barik
language : en
Publisher: Nova Biomedical Books
Release Date : 2005
Quantum Brownian Motion In C Numbers written by Debashis Barik and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Brownian movements categories.
The theory of Brownian motion as proposed by Einstein is now hundred years old. Over the span of a century the theory has grown in various directions to understand stochastic processes in physics, chemistry and biology. An important endeavour in this direction is the quantisation of Brownian motion. While the early development of quantum optics initiated in sixties was based on density operator, noise operator and master equation methods primarily within weak-coupling and Markov approximations, path integral approach to quantum Brownian motion attracted wide attention in early eighties. Although this development had widened the scope of condensed matter physics and chemical physics significantly so far as the large coupling limit and finite correlation time of the noise processes are concerned several problems still need to be addressed. These include, for example, search for quantum analogues of equations of motion for true probability distribution functions, treatment of rate processes in the deep tunnelling regimes where semi-classical approximations are untenable, development of simpler numerical schemes for calculation of rate of activated processes and others. Keeping in view of these aspects it is worthwhile to ask how to extend classical theory of Brownian motion to quantum domain for arbitrary friction and temperature down to vacuum limit. Based on a coherent state representation of noise operators and Wigner canonical thermal distribution for harmonic bath oscillators we have recently developed a scheme for quantum Brownian motion in terms of c-number generalised quantum Langevin equation. The approach allows us to use classical methods of non-Markovian dynamics to study various quantum stochastic processes.
Techniques And Applications Of Path Integration
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Author : L. S. Schulman
language : en
Publisher: Courier Corporation
Release Date : 2005-12-27
Techniques And Applications Of Path Integration written by L. S. Schulman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-27 with Science categories.
Suitable for advanced undergraduates and graduate students, this text requires only a first course in quantum mechanics. The first part develops the techniques of path integration; the second section, dealing with applications, covers a host of illustrative examples. 26 figures. 1981 edition.
Quantum Brownian Motion By Path Integral Mothod
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Author : Supitch Khemmani
language : en
Publisher:
Release Date : 1999
Quantum Brownian Motion By Path Integral Mothod written by Supitch Khemmani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Brownian motion processes categories.
Path Integrals
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Author : George J. Papadopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Path Integrals written by George J. Papadopoulos 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 2013-11-11 with Science categories.
The Advanced Study Institute on "Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics" was held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977. The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C. (Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium), Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium), Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M. (Belgium), Kredietbank (Belgium), National Science Foundation (U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici pants attended the Institute. The development of path (or functional) integrals in relation to problems of stochastic nature dates back to the early 20's. At that time, Wiener succeeded in obtaining the fundamental solution of the diffusion e~uation using Einstein's joint probability of finding a Brownian particle in a succession of space intervals during a corresponding succession of time intervals. Dirac in the early 30's sowed the seeds of the path integral formulation of ~uantum mecha nics. However, the major and decisive step in this direction was taken with Feynman's works in ~uantum and statistical physics, and quantum electrodynamicso The applications now extend to areas such as continuous mechanics, and recently functional integration methods have been employed by Edwards for the study of polymerized matter
Fractional Quantum Mechanics
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Author : Laskin Nick
language : en
Publisher: World Scientific
Release Date : 2018-05-25
Fractional Quantum Mechanics written by Laskin Nick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-25 with Science categories.
Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework. Related topics covered in the text include time fractional quantum mechanics, fractional statistical mechanics, fractional classical mechanics and the α-stable Lévy random process. The book is well-suited for theorists, pure and applied mathematicians, solid-state physicists, chemists, and others working with the Schrödinger equation, the path integral technique and applications of fractional calculus in various research areas. It is useful to skilled researchers as well as to graduate students looking for new ideas and advanced approaches.