Quantum Field Theory Of Many Body Systems

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Quantum Field Theory of Many-Body Systems

Xiao-Gang Wen
Quantum Field Theory of Many Body Systems Book PDF

Author : Xiao-Gang Wen
Publisher : OUP Oxford
Page : 520 pages
File Size : 46,5 Mb
Release : 2004-06-04
Category : Science
ISBN : 9780191523960

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Quantum Field Theory of Many-Body Systems by Xiao-Gang Wen Pdf

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Quantum Field Theory of Many-Body Systems

Xiao-Gang Wen
Quantum Field Theory of Many Body Systems Book PDF

Author : Xiao-Gang Wen
Publisher : Oxford University Press
Page : 520 pages
File Size : 49,8 Mb
Release : 2004-06-03
Category : Science
ISBN : 9780198530947

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Quantum Field Theory of Many-Body Systems by Xiao-Gang Wen Pdf

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons andfermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods(which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phasetransitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group,bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matterphysics.

Physics and Mathematics of Quantum Many-Body Systems

Hal Tasaki
Physics and Mathematics of Quantum Many Body Systems Book PDF

Author : Hal Tasaki
Publisher : Springer Nature
Page : 534 pages
File Size : 45,7 Mb
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 9783030412654

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Physics and Mathematics of Quantum Many-Body Systems by Hal Tasaki Pdf

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Many-Body Problems and Quantum Field Theory

Philippe Andre Martin,Francois Rothen
Many Body Problems and Quantum Field Theory Book PDF

Author : Philippe Andre Martin,Francois Rothen
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 52,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662084908

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Many-Body Problems and Quantum Field Theory by Philippe Andre Martin,Francois Rothen Pdf

Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

Many-Body Quantum Theory in Condensed Matter Physics

Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Many Body Quantum Theory in Condensed Matter Physics Book PDF

Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 44,9 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335

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Many-Body Quantum Theory in Condensed Matter Physics by Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg Pdf

The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Introduction to Many-Body Physics

Piers Coleman
Introduction to Many Body Physics Book PDF

Author : Piers Coleman
Publisher : Cambridge University Press
Page : 815 pages
File Size : 45,7 Mb
Release : 2015-11-26
Category : Science
ISBN : 9780521864886

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Introduction to Many-Body Physics by Piers Coleman Pdf

This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.

Mathematical Methods of Many-Body Quantum Field Theory

Detlef Lehmann
Mathematical Methods of Many Body Quantum Field Theory Book PDF

Author : Detlef Lehmann
Publisher : CRC Press
Page : 264 pages
File Size : 53,7 Mb
Release : 2004-08-30
Category : Mathematics
ISBN : 9781482286052

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Mathematical Methods of Many-Body Quantum Field Theory by Detlef Lehmann Pdf

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theo

Quantum Theory of Many-Body Systems

Alexandre Zagoskin
Quantum Theory of Many Body Systems Book PDF

Author : Alexandre Zagoskin
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461205951

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Quantum Theory of Many-Body Systems by Alexandre Zagoskin Pdf

Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '

Quantum Theory of Many-Particle Systems

Alexander L. Fetter,John Dirk Walecka
Quantum Theory of Many Particle Systems Book PDF

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 640 pages
File Size : 55,5 Mb
Release : 2012-03-08
Category : Science
ISBN : 9780486134758

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Quantum Theory of Many-Particle Systems by Alexander L. Fetter,John Dirk Walecka Pdf

Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.

Nonequilibrium Many-Body Theory of Quantum Systems

Gianluca Stefanucci,Robert van Leeuwen
Nonequilibrium Many Body Theory of Quantum Systems Book PDF

Author : Gianluca Stefanucci,Robert van Leeuwen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,7 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.

Many-Body Theory Exposed!

Willem H Dickhoff,Dimitri Van Neck
Many Body Theory Exposed Book PDF

Author : Willem H Dickhoff,Dimitri Van Neck
Publisher : World Scientific Publishing Company
Page : 852 pages
File Size : 47,6 Mb
Release : 2008-05-02
Category : Science
ISBN : 9789813101319

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Many-Body Theory Exposed! by Willem H Dickhoff,Dimitri Van Neck Pdf

This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model. The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose–Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.

Mathematical Methods of Many-Body Quantum Field Theory

Detlef Lehmann
Mathematical Methods of Many Body Quantum Field Theory Book PDF

Author : Detlef Lehmann
Publisher : CRC Press
Page : 265 pages
File Size : 45,9 Mb
Release : 2004-08-30
Category : Science
ISBN : 9781420035018

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Mathematical Methods of Many-Body Quantum Field Theory by Detlef Lehmann Pdf

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations. Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature.

The Quantum Mechanics of Many-Body Systems

D.J. Thouless
The Quantum Mechanics of Many Body Systems Book PDF

Author : D.J. Thouless
Publisher : Courier Corporation
Page : 258 pages
File Size : 44,5 Mb
Release : 2014-01-15
Category : Science
ISBN : 9780486493572

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The Quantum Mechanics of Many-Body Systems by D.J. Thouless Pdf

"Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.

Many-Body Problems and Quantum Field Theory

Philippe Andre Martin,Francois Rothen
Many Body Problems and Quantum Field Theory Book PDF

Author : Philippe Andre Martin,Francois Rothen
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 45,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662048948

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Many-Body Problems and Quantum Field Theory by Philippe Andre Martin,Francois Rothen Pdf

Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

Quantum Many-Body Systems in One Dimension

Zachary N C Ha
Quantum Many Body Systems in One Dimension Book PDF

Author : Zachary N C Ha
Publisher : World Scientific
Page : 168 pages
File Size : 41,9 Mb
Release : 1996-09-13
Category : Science
ISBN : 9789814500371

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Quantum Many-Body Systems in One Dimension by Zachary N C Ha Pdf

The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin–charge separation, in the context of the explicit models. Contents:IntroductionHeisenberg Spin ChainThe 1D Hubbard ModelModels with Inverse-Square ExchangeStrings in Long-Range Interaction ModelElementary Excitations of t-J ModelFractional Statistics in One-Dimension: View from an Exactly Solvable ModelConcluding Remarks Readership: Graduate students, researchers in statistical mechanics, mathematical physics and condensed matter physics. keywords:Quantum;Many-Body;One;Inverse Square;Exchange;Luttinger;Fractional Statistics