Quantum Theory of Many-variable Systems and Fields

Quantum Theory of Many-variable Systems and Fields
Author: B. Sakita
Publisher: World Scientific Publishing Company
Total Pages: 234
Release: 1985
Genre: Mathematics
ISBN: 9789971978556

These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.

Quantum Theory Of Many Variable Systems And Fields

Quantum Theory Of Many Variable Systems And Fields
Author: Bunji Sakita
Publisher: World Scientific Publishing Company
Total Pages: 230
Release: 1985-09-01
Genre: Science
ISBN: 9813104015

These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.

Many-Body Problems and Quantum Field Theory

Many-Body Problems and Quantum Field Theory
Author: Philippe Andre Martin
Publisher: Springer Science & Business Media
Total Pages: 442
Release: 2013-04-17
Genre: Science
ISBN: 3662084902

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.

The Quantum Mechanics of Many-Body Systems

The Quantum Mechanics of Many-Body Systems
Author: D.J. Thouless
Publisher: Courier Corporation
Total Pages: 258
Release: 2014-01-15
Genre: Science
ISBN: 0486493571

"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.

The Physics of Quantum Fields

The Physics of Quantum Fields
Author: Michael Stone
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2012-12-06
Genre: Science
ISBN: 1461205077

A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.

Quantum Field Theory of Many-Body Systems

Quantum Field Theory of Many-Body Systems
Author: Xiao-Gang Wen
Publisher: OUP Oxford
Total Pages: 520
Release: 2004-06-04
Genre: Science
ISBN: 0191523968

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.

Many-Body Quantum Theory in Condensed Matter Physics

Many-Body Quantum Theory in Condensed Matter Physics
Author: Henrik Bruus
Publisher: Oxford University Press
Total Pages: 458
Release: 2004-09-02
Genre: Science
ISBN: 0198566336

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.

An Introduction To Quantum Field Theory

An Introduction To Quantum Field Theory
Author: Michael E. Peskin
Publisher: CRC Press
Total Pages: 865
Release: 2018-05-04
Genre: Science
ISBN: 0429972105

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.

Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter
Author: Ramamurti Shankar
Publisher: Cambridge University Press
Total Pages: 557
Release: 2017-08-31
Genre: Science
ISBN: 1108363989

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.

Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes)

Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes)
Author: Gerhard Grensing
Publisher: World Scientific
Total Pages: 1656
Release: 2021-07-15
Genre: Science
ISBN: 9811237093

The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.