Mathematical Methods Of Many Body Quantum Field Theory

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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 : 44,9 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.

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 : 54,6 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 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 : 53,9 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.

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 : 43,7 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.

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 : 51,8 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.

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 : 49,8 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.

Mathematical Quantum Theory I: Field Theory and Many-Body Theory

Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen
Mathematical Quantum Theory I Field Theory and Many Body Theory Book PDF

Author : Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen
Publisher : American Mathematical Soc.
Page : 244 pages
File Size : 41,8 Mb
Release : 1994
Category : Science
ISBN : 9780821803653

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Mathematical Quantum Theory I: Field Theory and Many-Body Theory by Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen Pdf

This book is the first volume of the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The seminar was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The subject of the first session, quantum field theory and many-body theory, is covered in the present volume; papers from the second session, on Schr odinger operators, are in Volume 2. Each session featured a series of minicourses, consisting of approximately four one-hour lectures, designed to introduce students to current research in a particular area. In addition, about thirty speakers gave one-hour expository lectures. With contributions by some of the top experts in the field, this book provides an overview of the state of the art in mathematical quantum field and many-body theory.

Methods of Quantum Field Theory in Statistical Physics

Alekse? Alekseevich Abrikosov,Lev Petrovich Gor?kov,I. E. Dzyaloshinski,Igor? Ekhiel?evich Dzi?aloshinski?
Methods of Quantum Field Theory in Statistical Physics Book PDF

Author : Alekse? Alekseevich Abrikosov,Lev Petrovich Gor?kov,I. E. Dzyaloshinski,Igor? Ekhiel?evich Dzi?aloshinski?
Publisher : Courier Corporation
Page : 383 pages
File Size : 52,7 Mb
Release : 1975-10-01
Category : Science
ISBN : 9780486632285

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Methods of Quantum Field Theory in Statistical Physics by Alekse? Alekseevich Abrikosov,Lev Petrovich Gor?kov,I. E. Dzyaloshinski,Igor? Ekhiel?evich Dzi?aloshinski? Pdf

This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Quantum Field Theory in Condensed Matter Physics

Naoto Nagaosa
Quantum Field Theory in Condensed Matter Physics Book PDF

Author : Naoto Nagaosa
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 44,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662037744

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Quantum Field Theory in Condensed Matter Physics by Naoto Nagaosa Pdf

This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.

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 : 40,7 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

Condensed Matter Field Theory

Alexander Altland,Ben D. Simons
Condensed Matter Field Theory Book PDF

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 42,9 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

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.

Many-Body Physics, Topology and Geometry

Siddhartha Sen,Kumar Sankar Gupta
Many Body Physics Topology and Geometry Book PDF

Author : Siddhartha Sen,Kumar Sankar Gupta
Publisher : World Scientific
Page : 220 pages
File Size : 44,8 Mb
Release : 2015-06-15
Category : Science
ISBN : 9789814678186

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Many-Body Physics, Topology and Geometry by Siddhartha Sen,Kumar Sankar Gupta Pdf

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed. The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene. The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described. Contents:OverviewMany-Body TheoryTopology and GeometryBoundary Conditions and Self-Adjoint ExtensionsElectronic Properties of Graphene Readership: Graduate students and researchers in condensed matter physics and mathematical physics. Key Features:Topics are of current interest, e.g. graphene, topological insulators, Majorana fermionsIs self-contained and provides all the background material necessary to understand the physical or mathematical concepts discussedPractical ways of using topology, self-adjoint extensions as well as ways of making qualitative estimates in physics are explained and then illustrated by examplesKeywords:Condensed Matter Physics;Topology;Differential Geometry;Many-Body Problem;Graphene;Self-Adjoint Extensions;K-Theory;Quasiparticles;Superconductivity;Superfluidity;Topological Insulator;Mathematical Physics

Modern Quantum Field Theory

Tom Banks
Modern Quantum Field Theory Book PDF

Author : Tom Banks
Publisher : Cambridge University Press
Page : 323 pages
File Size : 46,7 Mb
Release : 2008-09-18
Category : Science
ISBN : 9781139473897

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Modern Quantum Field Theory by Tom Banks Pdf

Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.

The Many-body Problem

Daniel Charles Mattis
The Many body Problem Book PDF

Author : Daniel Charles Mattis
Publisher : World Scientific
Page : 992 pages
File Size : 41,6 Mb
Release : 1993
Category : Science
ISBN : 9789810214760

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The Many-body Problem by Daniel Charles Mattis Pdf

This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ? such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz ? can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.