Classical And Quantum Dissipative Systems Second Edition
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Classical And Quantum Dissipative Systems (Second Edition) by Razavy Mohsen Pdf
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.
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 OCo originally published in 1990 and republished in 1999 as an enlarged second edition OCo delves much deeper than ever before into the fundamental concepts, methods, and applications of quantum dissipative systems, including the most recent developments. In this third edition, 26 chapters from the second edition contain additional material and several chapters are completely rewritten. It deals with the phenomena and theory of decoherence, relaxation, and dissipation in quantum mechanics that arise from the interaction with the environment. In so doing, a general path integral description of equilibrium thermodynamics and nonequilibrium dynamics is developed. Sample Chapter(s). Introduction (262 KB). Contents: General Theory of Open Quantum Systems; Few Sample Applications; Quantum Statistical Decay; The Dissipative Two-State System; The Dissipative Multi-State System. Readership: Advanced undergraduate and graduate students as well as researchers in quantum-statistical and condensed matter physics, quantum/classical mechanics, quantum information and computation, and quantum optics."
Quantum Dissipative Systems (Fifth Edition) by Ulrich Weiss Pdf
This comprehensive textbook provides the fundamental concepts and methods of dissipative quantum mechanics and related issues in condensed matter physics starting from first principles. It deals with the phenomena and theory of decoherence, relaxation and dissipation in quantum mechanics that arise from the random exchange of energy with the environment. Major theoretical advances in combination with stunning experimental achievements and the arising perspective for quantum computing have brightened the field and brought it to the attention of the general community in natural sciences. Expertise in dissipative quantum mechanics is by now beneficial in a broad sphere.This book — originally published in 1992 and republished as enlarged and updated second, third and fourth edition in 1999, 2008, and 2012 — dives even deeper into the fundamental concepts, methods and applications of quantum dissipation. The fifth edition provides a self-contained and updated account of the quantum mechanics and quantum statistics of open systems. The subject matter of the book has been thoroughly revised to better comply with the needs of newcomers and the demands of the advanced readership. Most of the chapters are rewritten to enhance clarity and topicality. Four new chapters covering recent developments in the field have been added. There are about 600 references. This book is intended for use by advanced undergraduate and graduate students in physics, and for researchers active in the field. They will find the monograph as a rich and stimulating source.
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. Contents:IntroductionGeneral Theory of Open Quantum Systems:Diverse Limited Approaches: A Brief SurveySystem-Plus-Reservoir ModelsImaginary-Time Approach and Equilibrium DynamicsReal-Time Path Integrals and Nonequilibrium DynamicsMiscellaneous Applications:Damped Linear Quantum Mechanical OscillatorQuantum Brownian Free MotionThe Thermodynamic Variational ApproachSuppression of Quantum CoherenceQuantum Statistical Decay:IntroductionClassical Rate Theory: A Brief OverviewQuantum Rate Theory: Basic Methods Multidimensional Quantum Rate TheoryCrossover From Thermal to Quantum DecayThermally Activated DecayThe Crossover RegionDissipative Quantum TunnelingThe Dissipative Two-State System:IntroductionThermodynamicsElectron Transfer and Incoherent TunnelingTwo-State Dynamics: Basics and MethodsTwo-State Dynamics: Sundry TopicsThe Driven Two-State SystemThe Dissipative Multi-State System:Quantum Brownian Particle in a Washboard PotentialMulti-State DynamicsDuality SymmetryTwisted Partition Function and Nonlinear MobilityCharge Transport in Quantum Impurity SystemsQuantum Transport for Sub- and Super-Ohmic Friction Readership: Advanced undergraduate and graduate students; researchers in quantum statistical and condensed matter physics, in quantum/classical mechanics, in quantum information and quantum state engineering, in quantum optics, and in Bose-condensed systems. Keywords:Quantum System;Quantum Tunneling;Quantum Mechanics;Thermodynamics
Quantum Dissipative Systems (Second Edition) by Ulrich Weiss Pdf
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 been added that review the most recent important developments.
Dissipative Quantum Chaos and Decoherence by Daniel Braun Pdf
This overview of the state of the art of research in an exciting field mainly emphasizes the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems.
Quantum Mechanics of Non-Hamiltonian and Dissipative Systems by Vasily Tarasov Pdf
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
Quantum Dissipative Systems (Third Edition) by Weiss Ulrich Pdf
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 — originally published in 1990 and republished in 1999 as an enlarged second edition — delves much deeper than ever before into the fundamental concepts, methods, and applications of quantum dissipative systems, including the most recent developments.In this third edition, 26 chapters from the second edition contain additional material and several chapters are completely rewritten. It deals with the phenomena and theory of decoherence, relaxation, and dissipation in quantum mechanics that arise from the interaction with the environment. In so doing, a general path integral description of equilibrium thermodynamics and nonequilibrium dynamics is developed.
Chaotic Dynamics and Transport in Classical and Quantum Systems by Pierre Collet,M. Courbage,S. Métens,A. Neishtadt,G. Zaslavsky Pdf
From the 18th to the 30th August 2003 , a NATO Advanced Study Institute (ASI) was held in Cargèse, Corsica, France. Cargèse is a nice small village situated by the mediterranean sea and the Institut d'Etudes Scientifiques de Cargese provides ? a traditional place to organize Theoretical Physics Summer Schools and Workshops * in a closed and well equiped place. The ASI was an International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems". The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Various experimental and numerical observations have shown new phenomena of chaotic and anomalous transport, fractal structures, chaos in physics accelerators and in cooled atoms inside atom-optics billiards, space-time chaos, fluctuations far from equilibrium, quantum decoherence etc. New theoretical methods have been developed in order to modelize and to understand these phenomena (volume preserving and ergodic dynamical systems, non-equilibrium statistical dynamics, fractional kinetics, coupled maps, space-time entropy, quantum dissipative processes etc). The school gathered a team of specialists from several horizons lecturing and discussing on the achievements, perspectives and open problems (both fundamental and applied).
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 OCo originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions OCo 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."
This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
An Introduction To Inverse Problems In Physics by Mohsen Razavy Pdf
This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.
Electron Dynamics in Molecular Interactions by Frank Hagelberg Pdf
This volume provides a comprehensive introduction to the theory of electronic motion in molecular processes — an increasingly relevant and rapidly expanding segment of molecular quantum dynamics. Emphasis is placed on describing and interpreting transitions between electronic states in molecules as they occur typically in cases of reactive scattering between molecules, photoexcitation or nonadiabatic coupling between electronic and nuclear degrees of freedom. Electron Dynamics in Molecular Interactions aims at a synoptic presentation of some very recent theoretical efforts to solve the electronic problem in quantum molecular dynamics, contrasting them with more traditional schemes. The presented models are derived from their roots in basic quantum theory, their interrelations are discussed, and their characteristic applications to concrete chemical systems are outlined. This volume also includes an assessment of the present status of electron dynamics and a report on novel developments to meet the current challenges in the field. Further, this monograph responds to a need for a systematic comparative treatise on nonadiabatic theories of quantum molecular dynamics, which are of considerably higher complexity than the more traditional adiabatic approaches and are steadily gaining in importance. This volume addresses a broad readership ranging from physics or chemistry graduate students to specialists in the field of theoretical quantum dynamics. Contents:Preparations:Ab Initio Theory of Electronic StructureThe Adiabatic and the Diabatic RepresentationBasic Concepts of Scattering TheorySemiclassical NotionsOpen Systems: Elements of Rate TheoryMethods:Time-Independent Theory of Molecular Collisions I: Multichannel ScatteringTime-Independent Theory of Molecular Collisions II: The Electronic ProblemThe Time-Dependent Self-consistent Field TheoryEvolution of Coherent Molecular States: Electron Nuclear Dynamics TheoryThe Classical Electron AnalogHopping and SpawningSemiclassical Propagator TechniquesQuantum Hydrodynamics I: Coupled Trajectories in Bohmian MechanicsQuantum Hydrodynamics II: The Semiclassical Liouville-Von Neumann EquationWavepacket Propagation MethodsDensity Functional DynamicsDecoherenceSpecial Topics:Ultrafast Optical SpectroscopyOptical Control of Electron Multistate Molecular DynamicsElectron Transfer in Condensed MediaElectronic Friction in Molecule-Surface Interactions Readership: Graduate students and researchers in physical chemistry and computational physics; industrial chemists and physicists interested in the field. Key Features:This book provides an overview of the recent nonadiabatic theories of quantum molecular dynamics that are widely used and highly acknowledged in the community of physical chemistsThere is currently no other book available in the market that shares the publication scope of this bookIt can be used as a supplementary textbook to graduate level course in quantum chemistry or chemical dynamicsKeywords:Nonadiabatic Processes;Electronic Transitions;Molecular Dynamics;Quantum Trajectories;Wavepacket Propagation
In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined. In addition, by considering the analogy between evanescent waves in waveguides and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Finally, a large number of examples of tunneling in atomic, molecular, condensed matter and nuclear physics are presented and solved. Contents:A Brief History of Quantum TunnelingSome Basic Questions Concerning Quantum TunnelingSimple Solvable ProblemsTime-Dependence of the Wave Function in One-Dimensional TunnelingSemiclassical ApproximationsGeneralization of the Bohr–Sommerfeld Quantization Rule and Its Application to Quantum TunnelingGamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying StateTunneling in Symmetric and Asymmetric Local Potentials and Tunneling in Nonlocal and Quasi-Solvable BarriersClassical Descriptions of Quantum TunnelingTunneling in Time-Dependent BarriersDecay Width and the Scattering TheoryThe Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling ProblemsPath Integral and Its Semi-Classical Approximation in Quantum TunnelingHeisenberg's Equations of Motion for TunnelingWigner Distribution Function in Quantum TunnelingDecay Widths of Siegert States, Complex Scaling and Dilatation TransformationMultidimensional Quantum TunnelingGroup and Signal VelocitiesTime-Delay, Reflection Time Operator and Minimum Tunneling TimeMore About Tunneling TimeTunneling of a System with Internal Degrees of FreedomMotion of a Particle in a Waveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped ObjectRelativistic Formulation of Quantum TunnelingInverse Problems of Quantum TunnelingSome Examples of Quantum Tunneling in Atomic and Molecular PhysicsSome Examples in Condensed Matter PhysicsAlpha Decay Readership: Graduate students and researchers in theoretical, mathematical, condensed matter and nuclear physics, as well as theoretical chemistry. Keywords:Quantum Tunneling;Quantum Clocks;Electromagnetic Wave Propagation;Semiclassical Approximations
Dissipative, Entropy-Production Systems Across Condensed Matter and Interdisciplinary Classical Vs. Quantum Physics by Adam Gadomski Pdf
The thematic range of this book is wide and can loosely be described as polydispersive. Figuratively, it resembles a polynuclear path of yielding (poly)crystals. Such path can be taken when looking at it from the first side. However, a closer inspection of the book's contents gives rise to a much more monodispersive/single-crystal and compacted (than crudely expected) picture of the book's contents presented to a potential reader. Namely, all contributions collected can be united under the common denominator of maximum-entropy and entropy production principles experienced by both classical and quantum systems in (non)equilibrium conditions. The proposed order of presenting the material commences with properly subordinated classical systems (seven contributions) and ends up with three remaining quantum systems, presented by the chapters' authors. The overarching editorial makes the presentation of the wide-range material self-contained and compact, irrespective of whether comprehending it from classical or quantum physical viewpoints.