Quantum Mechanics of Non Hamiltonian and Dissipative Systems Book

Quantum Mechanics of Non Hamiltonian and Dissipative Systems


  • Author : Vasily Tarasov
  • Publisher : Elsevier
  • Release Date : 2008-06-06
  • Genre: Science
  • Pages : 530
  • ISBN 10 : 0080559719

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Quantum Mechanics of Non Hamiltonian and Dissipative Systems Book Description :

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006. • Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory • Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

Classical And Quantum Dissipative Systems  Second Edition  Book

Classical And Quantum Dissipative Systems Second Edition


  • Author : Razavy Mohsen
  • Publisher : World Scientific
  • Release Date : 2017-02-27
  • Genre: Science
  • Pages : 592
  • ISBN 10 : 9789813207936

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Classical And Quantum Dissipative Systems Second Edition Book Description :

Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

Applications in Physics Book

Applications in Physics


  • Author : Vasily E. Tarasov
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2019-02-19
  • Genre: Mathematics
  • Pages : 327
  • ISBN 10 : 9783110571721

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Applications in Physics Book Description :

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory.

Symmetries in Science X Book

Symmetries in Science X


  • Author : Bruno Gruber
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Mathematics
  • Pages : 454
  • ISBN 10 : 9781489915375

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Symmetries in Science X Book Description :

Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 Book

Lagrangian and Hamiltonian Methods for Nonlinear Control 2003


  • Author : A Astolfi
  • Publisher : Elsevier
  • Release Date : 2003-10-21
  • Genre: Mathematics
  • Pages : 305
  • ISBN 10 : 0080442781

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Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 Book Description :

This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods

Quantum Dissipative Systems Book

Quantum Dissipative Systems


  • Author : Ulrich Weiss
  • Publisher : World Scientific
  • Release Date : 1999
  • Genre: Science
  • Pages : 448
  • ISBN 10 : 9810240929

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Quantum Dissipative Systems Book Description :

Recent advances in the quantum theory of macroscopic systems have brightened up the field and brought it into the focus of a general community in natural sciences. The fundamental concepts, methods and applications including the most recent developments, previously covered for the most part only in the original literature, are presented here in a comprehensive treatment to an audience who is reasonably familiar with quantum-statistical mechanics and has had rudimentary contacts with the path integral formulation. This book deals with the phenomena and theory of decoherence and dissipation in quantum mechanics that arise from the interaction with the environment. A general path integral description of equilibrium thermodynamics and non-equilibrium dynamics is developed. The approach can deal with weak and strong dissipation, and with all kinds of memory effects. Applications to numerous phenomenological and microscopic systems are presented, where emphasis is put on condensed matter and chemical physics. The basic principles and methods of preparation functions, propagating functions, and time correlation functions are described. Special attention is focused on quantum tunneling and quantum coherence phenomena of macroscopic variables. Many illustrative realistic examples are discussed in some detail. The book attempts to provide a broad perspective and to open up this rapidly developing field to interested researchers normally working in different fields. In this enlarged second edition, the nineteen chapters of the first edition have been expanded by about one-third to better meet both the requests of newcomers to the field and of advanced readers, and seven new chapters have beenadded that review the most recent important developments.

Physics  Uspekhi Book

Physics Uspekhi


  • Author :
  • Publisher :
  • Release Date : 2003
  • Genre: Physics
  • Pages :
  • ISBN 10 : CHI:62496077

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Physics Uspekhi Book Description :

Fractional Dynamics Book

Fractional Dynamics


  • Author : Vasily E. Tarasov
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-01-04
  • Genre: Science
  • Pages : 505
  • ISBN 10 : 9783642140037

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Fractional Dynamics Book Description :

"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

Quantum Theory from a Nonlinear Perspective Book

Quantum Theory from a Nonlinear Perspective


  • Author : Dieter Schuch
  • Publisher : Springer
  • Release Date : 2018-01-20
  • Genre: Science
  • Pages : 258
  • ISBN 10 : 9783319655949

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Quantum Theory from a Nonlinear Perspective Book Description :

This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.

Advances in Chemical Physics Book

Advances in Chemical Physics


  • Author : Ilya Prigogine
  • Publisher :
  • Release Date : 1958
  • Genre: Chemistry
  • Pages :
  • ISBN 10 : UVA:X030002910

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Advances in Chemical Physics Book Description :

Quantum Probability and Infinite Dimensional Analysis Book

Quantum Probability and Infinite Dimensional Analysis


  • Author : Habib Ouerdiane
  • Publisher : World Scientific
  • Release Date : 2010
  • Genre: Mathematics
  • Pages : 304
  • ISBN 10 : 9789814295437

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Quantum Probability and Infinite Dimensional Analysis Book Description :

This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.

Quantum Dissipative Systems Book

Quantum Dissipative Systems


  • Author : Ulrich Weiss
  • Publisher : World Scientific
  • Release Date : 2012
  • Genre: Science
  • Pages : 566
  • ISBN 10 : 9789814374910

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Quantum Dissipative Systems Book Description :

Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book — originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions — delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems.This fourth edition provides a self-contained and updated account of the quantum mechanics of open systems and offers important new material including the most recent developments. The subject matter has been expanded by about fifteen percent. Many chapters have been completely rewritten to better cater to both the needs of newcomers to the field and the requests of the advanced readership. Two chapters have been added that account for recent progress in the field. This book should be accessible to all graduate students in physics. Researchers will find this a rich and stimulating source.

Instabilities and Chaos in Quantum Optics II Book

Instabilities and Chaos in Quantum Optics II


  • Author : N.B. Abraham
  • Publisher : Springer Science & Business Media
  • Release Date : 1988-09-01
  • Genre: Technology & Engineering
  • Pages : 396
  • ISBN 10 : 0306429144

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Instabilities and Chaos in Quantum Optics II Book Description :

This volume contains tutorial papers from the lectures and seminars presented at the NATO Advanced Study Institute on "Instabilities and Chaos in Quantum Optics", held at the "Il Ciocco" Conference Center, Castelvecchio Pascoli, Lucca, Italy, June 28-July 7, 1987. The title of the volume is designated Instabilities and Chaos in Quantum Optics II, because of the nearly coincident publication of a collection of articles on research in this field edited by F.T. Arecchi and R.G. Harrison [Instabilities and Chaos in Quantum Optics, (Springer, Berlin, 1987) 1. That volume provides more detailed information about some of these topics. Together they will serve as a comprehensive and tutorial pair of companion volumes. This school was directed by Prof. Massimo Inguscio, of the Department of Physics, University of Naples, Naples, Italy to whom we express our gratitude on behalf of all lecturers and students. The Scientific Advisory Committee consisted of N.B. Abraham of Bryn Mawr College; F.T. Arecchi of the National Institute of Optics in Florence and the University of Florence, and L.A. Lugiato of the Politechnic Institute of Torino. The school continues the long tradition of Europhysics Summer Schools in Quantum Electronics which have provided instruction and training for young researchers and advanced students working in this field for almost twenty years.

Hadronic Journal Book

Hadronic Journal


  • Author :
  • Publisher :
  • Release Date : 1986
  • Genre: Hadrons
  • Pages :
  • ISBN 10 : UOM:39015017616056

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Hadronic Journal Book Description :

Dissipative Phenomena in Condensed Matter Book

Dissipative Phenomena in Condensed Matter


  • Author : Sushanta Dattagupta
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-02-20
  • Genre: Science
  • Pages : 308
  • ISBN 10 : 3540203818

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Dissipative Phenomena in Condensed Matter Book Description :

A reference and text, Dissipative Phenomena treats the broadly applicable area of nonequilibrium statistical physics and concentrates the modelling and characterization of dissipative phenomena. A variety of examples from diverse disciplines, such as condensed matter physics, materials science, metallurgy, chemical physics, are discussed. Dattagupta employs a broad framework of stochastic processes and master equation techniques to obtain models for a range of experimentally relevant phenomena such as classical and quantum Brownian motion, spin dynamics, kinetics of phase ordering, relaxation in glasses, and dissipative tunnelling. This book will serve as a graduate/research level textbook since it offers considerable utility to experimentalists, computational physicists and theorists.

Quantum Tunneling in Complex Systems Book

Quantum Tunneling in Complex Systems


  • Author : Joachim Ankerhold
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-02-15
  • Genre: Science
  • Pages : 210
  • ISBN 10 : 9783540680741

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Quantum Tunneling in Complex Systems Book Description :

In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.