Quantum Field Theory Of Non Equilibrium States

Author : Jørgen Rammer
Publisher : Cambridge University Press
Page : 0 pages
File Size : 55,7 Mb
Release : 2011-03-03
Category : Science
ISBN : 0521188008

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Quantum Field Theory of Non-equilibrium States by Jørgen Rammer Pdf

Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

Author : Jørgen Rammer
Publisher : Cambridge University Press
Page : 552 pages
File Size : 49,8 Mb
Release : 2007-07-19
Category : Science
ISBN : 0521874998

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Quantum Field Theory of Non-equilibrium States by Jørgen Rammer Pdf

Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

Author : Esteban A. Calzetta,Bei-Lok B. Hu
Publisher : Cambridge University Press
Page : 553 pages
File Size : 49,5 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009289986

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Nonequilibrium Quantum Field Theory by Esteban A. Calzetta,Bei-Lok B. Hu Pdf

This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.

Author : Alex Kamenev
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,9 Mb
Release : 2011-09-08
Category : Science
ISBN : 9781139500296

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Field Theory of Non-Equilibrium Systems by Alex Kamenev Pdf

The physics of non-equilibrium many-body systems is one of the most rapidly expanding areas of theoretical physics. Traditionally used in the study of laser physics and superconducting kinetics, these techniques have more recently found applications in the study of dynamics of cold atomic gases, mesoscopic and nano-mechanical systems. The book gives a self-contained presentation of the modern functional approach to non-equilibrium field-theoretical methods. They are applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. Its step-by-step treatment gives particular emphasis to the pedagogical aspects, making it ideal as a reference for advanced graduate students and researchers in condensed matter physics.

Author : Gianluca Stefanucci,Robert van Leeuwen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 41,5 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781107354579

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Nonequilibrium Many-Body Theory of Quantum Systems by Gianluca Stefanucci,Robert van Leeuwen Pdf

The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.

Author : Nick Proukakis
Publisher : World Scientific
Page : 579 pages
File Size : 54,6 Mb
Release : 2013
Category : Science
ISBN : 9781848168121

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Quantum Gases by Nick Proukakis Pdf

This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.

Author : Yves Pomeau,Minh-Binh Tran
Publisher : Springer Nature
Page : 227 pages
File Size : 51,6 Mb
Release : 2019-11-29
Category : Science
ISBN : 9783030343941

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Statistical Physics of Non Equilibrium Quantum Phenomena by Yves Pomeau,Minh-Binh Tran Pdf

This book provides an introduction to topics in non-equilibrium quantum statistical physics for both mathematicians and theoretical physicists. The first part introduces a kinetic equation, of Kolmogorov type, which is needed to describe an isolated atom (actually, in experiments, an ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its excited state(s) together with the random emission of fluorescence photons which put it back into its ground state. The quantum kinetic theory developed in the second part is an extension of Boltzmann's classical (non-quantum) kinetic theory of a dilute gas of quantum bosons. This is the source of many interesting fundamental questions, particularly because, if the temperature is low enough, such a gas is known to have at equilibrium a transition, the Bose–Einstein transition, where a finite portion of the particles stay in the quantum ground state. An important question considered is how a Bose gas condensate develops in time if its energy is initially low enough.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814472975

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Nonequilibrium Quantum Transport Physics in Nanosystems by Anonim Pdf

Author : Uwe C. Täuber
Publisher : Cambridge University Press
Page : 529 pages
File Size : 42,5 Mb
Release : 2014-03-06
Category : Science
ISBN : 9780521842235

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Critical Dynamics by Uwe C. Täuber Pdf

A comprehensive and unified introduction to describing and understanding complex interacting systems.

Author : Bohdan I Lev,Anatoly G Zagorodny
Publisher : World Scientific
Page : 352 pages
File Size : 52,7 Mb
Release : 2021-02-18
Category : Science
ISBN : 9789811229992

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Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems by Bohdan I Lev,Anatoly G Zagorodny Pdf

This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).

Author : David A. B. Miller
Publisher : Cambridge University Press
Page : 575 pages
File Size : 41,6 Mb
Release : 2008-04-21
Category : Technology & Engineering
ISBN : 9781139471275

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Quantum Mechanics for Scientists and Engineers by David A. B. Miller Pdf

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

Author : Phil Attard
Publisher : Oxford University Press
Page : 479 pages
File Size : 54,7 Mb
Release : 2012-10-04
Category : Science
ISBN : 9780199662760

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Non-equilibrium Thermodynamics and Statistical Mechanics by Phil Attard Pdf

This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

Author : Kasia Rejzner
Publisher : Springer
Page : 180 pages
File Size : 48,5 Mb
Release : 2016-03-16
Category : Science
ISBN : 9783319259017

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Perturbative Algebraic Quantum Field Theory by Kasia Rejzner Pdf

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 49,5 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184

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An Introduction To Quantum Field Theory by Michael E. Peskin Pdf

An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Author : R. Kubo,M. Toda,N. Hashitsume
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642967016

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Statistical Physics II by R. Kubo,M. Toda,N. Hashitsume Pdf

This volume of Statistical Physics consititutes the second part of Statistical Physics (Springer Series in Solid-State Science, Vols. 30, 31) and is devoted to nonequilibrium theories of statistical mechanics. We start with an intro duction to the stochastic treatment of Brownian motion and then proceed to general problems involved in deriving a physical process from an underlying more basic process. Relaxation from nonequilibrium to equilibrium states and the response of a system to an external disturbance form the central problems of nonequilibrium statistical mechanics. These problems are treated both phenomenologically and microscopically along the lines of re cent developments. Emphasis is placed on fundamental concepts and methods rather than on applications which are too numerous to be treated exhaustively within the limited space of this volume. For information on the general aim of this book, the reader is referred to the Foreword. For further reading, the reader should consult the bibliographies, although these are not meant to be exhaustive.