Quantum Brownian Motion In C Numbers
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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.
Dynamical Theories Of Brownian Motion
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Author : Edward Nelson
language : en
Publisher: Princeton University Press
Release Date : 1967-02-21
Dynamical Theories Of Brownian Motion written by Edward Nelson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-02-21 with Mathematics categories.
These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.
Concepts And Methods In Modern Theoretical Chemistry Two Volume Set
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Author : Swapan Kumar Ghosh
language : en
Publisher: CRC Press
Release Date : 2020-06-16
Concepts And Methods In Modern Theoretical Chemistry Two Volume Set written by Swapan Kumar Ghosh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-16 with Science categories.
Concepts and Methods in Modern Theoretical Chemistry, Two-Volume Set focuses on the structure and dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, the two books offer chapters written by experts in their fields. They enable readers to learn how concepts from ab initio quantum chemistry, density functio
Concepts And Methods In Modern Theoretical Chemistry
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Author : Swapan Kumar Ghosh
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Concepts And Methods In Modern Theoretical Chemistry written by Swapan Kumar Ghosh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics, the second book in a two-volume set, focuses on the dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, this book offers chapters written by experts in their fields. It enables readers to learn how concepts from ab initio quantum
A Remark On Quantum Brownian Motion
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Author : Joachim Messer
language : en
Publisher:
Release Date : 2008
A Remark On Quantum Brownian Motion written by Joachim Messer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Quantum Brownian Motion Revisited
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Author : Aniello Lampo
language : en
Publisher: Springer
Release Date : 2019-04-23
Quantum Brownian Motion Revisited written by Aniello Lampo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
Quantum Brownian motion represents a paradigmatic model of open quantum system, namely a system inextricably coupled to the surrounding environment. Such a model is largely used in physics, for instance in quantum foundations to approach in a quantitative manner the quantum-to-classical transition, but also for more practical purposes as the estimation of decoherence in quantum optics experiments. This book presents the main techniques aimed to treat the dynamics of the quantum Brownian particle: Born-Markov master equation, Lindblad equation and Heisenberg equations formalism. Particular attention is given to the interaction between the particle and the bath depends non-linearly on the position of the former. This generalization corresponds to the case in which the bath is not homogeneous. An immediate application is the Bose polaron, specifically an impurity embedded in an ultracold gas.
Non Markovian Quantum Brownian Motion
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Author : Nicholas Werren
language : en
Publisher:
Release Date : 2020
Non Markovian Quantum Brownian Motion written by Nicholas Werren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Quantum Statistical Mechanics
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Author : William C. Schieve
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-16
Quantum Statistical Mechanics written by William C. Schieve and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-16 with Science categories.
Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.
Quantum Independent Increment Processes I
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Author : David Applebaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-18
Quantum Independent Increment Processes I written by David Applebaum 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 2005-02-18 with Mathematics categories.
This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 – 22, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics. The present first volume contains the following lectures: "Lévy Processes in Euclidean Spaces and Groups" by David Applebaum, "Locally Compact Quantum Groups" by Johan Kustermans, "Quantum Stochastic Analysis" by J. Martin Lindsay, and "Dilations, Cocycles and Product Systems" by B.V. Rajarama Bhat.
Fundamental Aspects Of Quantum Brownian Motion
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Author : Peter Hänggi
language : en
Publisher:
Release Date : 2006
Fundamental Aspects Of Quantum Brownian Motion written by Peter Hänggi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.