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Friday, April 24, 2020 | History

8 edition of Classical and quantum dissipative systems found in the catalog.

Classical and quantum dissipative systems

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  • 36 Currently reading

Published by Imperial College Press, Distributed by World Scientific in London, Singapore, Hackensack, NJ .
Written in English

    Subjects:
  • Energy dissipation,
  • Quantum theory,
  • Mechanics

  • Edition Notes

    Includes bibliographical references and index

    StatementMohsen Razavy
    Classifications
    LC ClassificationsQC173.458.E53 R39 2005
    The Physical Object
    Paginationxv, 334 p. :
    Number of Pages334
    ID Numbers
    Open LibraryOL17194002M
    ISBN 101860945252, 1860945309


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Classical and quantum dissipative systems by Mohsen Razavy Download PDF EPUB FB2

This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped by: This book discusses issues associated with the quantum mechanical formulation of dissipative systems.

It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion.

Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book originally published in and republished in and and as enlarged second and third editions delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems.2/5(1).

Get this from a library. Classical and quantum dissipative systems. [Mohsen Razavy] -- "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.

Classical and quantum dissipative systems. [Mohsen Razavy] -- "This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction. This book discusses issues associated with the quantum mechanical formulation of dissipative systems.

It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion.

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. In analogy to open classical systems, there are also three main different approaches to treat quantum dissipative dynamics: (i) effective time-dependent Hamiltonians, (ii).

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.

Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book — originally published in and republished in and and as enlarged second and third editions — delves significantly deeper than ever before into the fundamental concepts.

Dissipative Quantum Systems Introduction Dissipation is a ubiquitous phenomenon in real physical systems. Its nature is made clear by considering the damped harmonic oscillator, a paradigm for dissipative sys-tems in the classical as well as the quantum regime. After starting at a nonequilibrium.

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.

Publisher Summary Classical information is subject to the laws of classical physics, while quantum information obeys the laws of quantum mechanics. This chapter provides basic concepts from mathematics, quantum mechanics, and computer science necessary for understanding the properties of quantum information.

Major advances in the quantum theory of macroscopic systems, in combination with stunning experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. Today, working knowledge of dissipative quantum mechanics is an essential tool for many physicists.

This book &#x; originally published in. Yet, despite the considerable attention quantum transport and quantum walks in dissipative systems have received [2–10], there exists no general definition of quantum current in open quantum systems, which would take into account both tunneling and environment-induced by: 3.

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.

This thesis covers various aspects of open systems in classical and quantum mechanics. In the first part, we deal with classical systems. The bath-of. During his research career, Dr Likharev worked in the fields of nonlinear classical and dissipative quantum dynamics, and solid-state physics and electronics, notably including superconductor electronics and nanoelectronics—most recently, with applications to neuromorphic networks.

As evolution in quantum mechanics of isolated systems is described by means of the Hamiltonian formalism associated with a Poisson bracket, it would be quite natural to look at “dissipative” aspects in the classical setting within the description of dynamical systems on carrier spaces endowed with symplectic or related by: 6.

Quantum dissipation is the branch of physics that studies the quantum analogues of the process of irreversible loss of energy observed at the classical level.

Its main purpose is to derive the laws of classical dissipation from the framework of quantum mechanics. A dissipative structure is a dissipative system that has a dynamical régime that is in some sense in a reproducible steady state.

This reproducible steady state may be reached by natural evolution of the system, by artifice, or by a combination of these two. Last but not least, the quantum mechanics of dissipative chaotic systems are also briefly described.

Each chapter is accompanied by a selection of problems that will help newcomers test and deepen their understanding, and gain a firm command of the methods presented.

Classical and quantum mechanics via Lie algebras Arnold Neumaier Dennis Westra University of Vienna, Austria Ap This is the draft of a book. The manuscript has not yet full book quality. Please refer to the book once it is published.

Until then, we’d appreciate suggestions for improvements; please send them to er Cited by: 8. 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. Quantum Dissipative Systems by F. Guinea, E. Bascones, M.J. Calderon.

Number of pages: Description: One of the most interesting topic of quantum mechanics is the study of open quantum systems. Reviewing macroscopic quantum phenomena and quantum dissipation, from the phenomenology of magnetism and superconductivity to the presentation of alternative models for quantum dissipation, this book develops the basic material necessary to understand the quantum dynamics of macroscopic by: Purchase Classical and Quantum Information - 1st Edition.

Print Book & E-Book. ISBNWe review progresses made in the applications of nonlinear dynamical techniques to the studies of IR multiphoton excitation of molecules in contact with a bath. An overall picture emerges by approaching this problem from the classical, semiclassical and quantum mechanical points of view, although differences exist among the results of these three : Jian-Min Yuan.

just like a classical oscillator would move if released from rest at a non-equilibrium position. To make a dissipative quantum harmonic oscillator, one can just make the value of the mass or the spring constant (or both) slightly complex, with a small imaginary part. Then, if the signs of the imaginary parts are chosen correctly, the time.

Questionable stability of dissipative topological models for classical and quantum systems Rebekka Koch and Jan Carl Budich make important contributions to. Such non-Hermitian Hamiltonians have successfully described experimental setups for both classical problems—in e.g.

some optical systems and electrical circuits—and quantum ones, in modelling. From the field of nonequilibrium statistical physics, this graduate- and research-level volume treats the modeling and characterization of dissipative phenomena.

A variety of examples from diverse disciplines like condensed matter physics, materials science, metallurgy, chemical physics etc.

are discussed. Dattagupta employs the broad framework of stochastic. Questionable stability of dissipative topological models for classical and quantum systems Date: Ap Source: Springer Summary: Scientists analyze the spectral instability of energy.

$\begingroup$ The main difference between quantum systems and classical ones seems to be that quantum systems actually exist, while classical systems are only an approximation of the behavior of quantum systems in certain limits (e.g. large mass/energy, high temperature, long timescales). Beyond that your question is way too general, at least.

We study the properties of classical and quantum stable structures in a three-dimensional (3D) parameter space corresponding to the dissipative kicked top. This is a model system in quantum and classical chaos that gives a starting point for many body examples.

We are able to identify the influence of these structures in the spectra and eigenstates of the Author: Gabriel G. Carlo, Leonardo Ermann, Alejandro M. Rivas, María E. Spina.

Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge.

Significant progress in the understanding of such systems has been made during the last. In these open-system quantum dynamical approaches, the degrees of freedom of the environment are traced out and the system undergoes a dissipative, non-unitary dynamics.

These approaches are exact in limiting cases only, since most often strong assumptions are needed to obtain manageable equations in a closed : Matteo Bonfanti, Rocco Martinazzo. Dissipative autonomous systems are classically described by modifying the conservative dynamics through adding dissipative terms.

Similarly, the quantum version adds to the von Neumann equation dissipative terms of double commutator type. Most prominent is the Lindblad equation, extensively used in dissipative quantum optics.

It is indicated that dissipative complex quantum trajectories for the wave and solitonlike solutions are identical to dissipative complex classical trajectories for the damped harmonic oscillator. This study develops a theoretical framework for dissipative quantum trajectories in complex space.

Chapter 4. A New Theoretical Concept of Quantum Mechanics and a Quasi-Classical Interpretation of the Fundamental Quantum-Mechanical Experiment (Andrei Nechayev, Geographic Department, Lomonosov’s Moscow State University, Moscow, Russian Federation) Chapter 5.

Quantization of General Linear Dissipative Systems. @article{osti_, title = {Foundations of Quantum Mechanics: Derivation of a dissipative Schrödinger equation from first principles}, author = {Gonçalves, L. A. and Olavo, L. S.F.,}, abstractNote = {Dissipation in Quantum Mechanics took some time to become a robust field of investigation after the birth of the field.

The main issue hindering developments in the field is .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.The present book provides a general framework for studying quantum and classical dynamical systems, both finite and infinite, conservative and dissipative.

Special attention is paid to the use of statistical and geometrical techniques, such as multitime correlation functions, quantum dynamical entropy, and non-commutative Lyapunov exponents, for systems with a complex .