Applications Of Statistical And Field Theory Methods To Condensed Matter
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Applications Of Statistical And Field Theory Methods To Condensed Matter
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Author : Dionys Baeriswyl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Statistical And Field Theory Methods To Condensed Matter written by Dionys Baeriswyl 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 2012-12-06 with Science categories.
There is no doubt that we have, during the last decade, moved into a "golden age" of condensed matter science. The sequence of discoveries of novel new states of matter and their rapid assimilation into experimental and theoretical research, as well as devices, has been remarkable. To name but a few: spin glasses; incommensurate, fractal, quasicrystal structures; synthetic metals; quantum well fabrication; fractional quantum Hall effect: solid state chaos; heavy fermions; and most spectacularly high-temperature superconductivity. This rapid evolution has been marked by the need to address the reality of materials in "extreme" conditions - - disordered, nonlinear systems in reduced dimensions, restricted geometries and at mesoscopic scales, often with striking competitions between several length and frequency scales, and between strong electron-phonon and electron-electron interactions. In such new territory it is not surprising that very interdisciplinary approaches are being explored and traditional boundaries between subjects and disciplines re-defined. In theory, this is evident, for instance, in attempts: (1) to advance the state of the art for elec tronic structure calculations so as to handle strongly interacting many-body systems and delicate competitions for collective ground states (spin models or many-electron Hamiltoni ans, field theory, band structure, quantum chemistry and numerical approaches); or (2) to understand pattern formation and complex (including chaotic) dynamics in extended sys tems. This demands close involvement with applied mathematics, numerical simulations and statistical mechanics techniques.
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan I Lev
language : en
Publisher: World Scientific
Release Date : 2021-02-18
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan I Lev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Science categories.
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.).
Statistical Field Theories
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Author : Andrea Cappelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Statistical Field Theories written by Andrea Cappelli 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 2012-12-06 with Science categories.
Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan Lev
language : en
Publisher:
Release Date : 2021
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan Lev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Field theory (Physics) categories.
"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.)"--
Quantum Field Theory In Condensed Matter Physics
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Author : Alexei M. Tsvelik
language : en
Publisher: Cambridge University Press
Release Date : 1996-08-15
Quantum Field Theory In Condensed Matter Physics written by Alexei M. Tsvelik 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 1996-08-15 with Science categories.
This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics. The first part of the book outlines the key methods of quantum field theory, including path integrals, Feynman diagrams, and renormalization. These are then applied to such topics as electrodynamics in metals, relativistic fermions and the Aharonov-Bohm effect. The rest of the book is dedicated to the use of non-perturbative techniques, and deals with strongly fluctuating spin systems, conformal symmetry and Kondo chains, as well as a number of related problems. The book will be useful to graduate students and established researchers in condensed matter physics and statistical mechanics, and to anyone with an interest in the modern techniques of quantum field theory.
Quantum Field Theory And Condensed Matter
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Author : Ramamurti Shankar
language : en
Publisher:
Release Date : 2017
Quantum Field Theory And Condensed Matter written by Ramamurti Shankar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Condensed matter categories.
Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
Field Theories In Condensed Matter Physics
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Author : Sumathi Rao
language : en
Publisher: CRC Press
Release Date : 2019-04-24
Field Theories In Condensed Matter Physics written by Sumathi Rao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-24 with Science categories.
The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h
Statistical Physics Fundamentals And Application To Condensed Matter
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Author : Hung-the Diep
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-06-29
Statistical Physics Fundamentals And Application To Condensed Matter written by Hung-the Diep and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-29 with Science categories.
The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter. The combination of statistical mechanics and quantum mechanics has provided an understanding of properties of matter leading to spectacular technological innovations and discoveries in condensed matter which have radically changed our daily life.The book gives the steps to follow to understand fundamental theories and to apply these to real materials.
Condensed Matter Field Theory
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-30
Condensed Matter Field Theory written by Alexander Altland 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 2023-09-30 with Science categories.
The text introduces methods of quantum field theory in condensed matter physics from basic concepts to modern developments and applications.
Quantum Field Theory
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Author : Eduardo Fradkin
language : en
Publisher: Princeton University Press
Release Date : 2021-03-23
Quantum Field Theory written by Eduardo Fradkin 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 2021-03-23 with Science categories.
"Quantum field theory is the mathematical and conceptual framework that describes the physics of the very small, including subatomic particles and quasiparticles. It is used to address a range of problems across subfields, from high-energy physics and gravitation to statistical physics and condensed matter physics. Despite the breadth of its applications, however, the teaching of quantum field theory has historically been strongly oriented toward high-energy physics students, while others-particularly in condensed matter and statistical physics-are typically taught in a separate course, or take an alternate sequence in many-body and statistical physics. Author Eduardo Fradkin strongly believes that this separation is both artificial and detrimental to all groups' understanding of quantum field theory. This textbook, developed from a graduate course Fradkin has taught for decades at the University of Illinois, offers a new, "multicultural" approach to the subject that seeks to remedy this fragmentation. It covers both basic techniques and topics at the frontiers of current research, and integrates modern concepts and examples from high-energy, statistical, and condensed-matter physics alike. Extensive problem sets further illustrate applications across a range of subfields. The book will be suitable for students across physical subdisciplines who have mastered graduate-level quantum mechanics, and will be a useful reference for researchers"--