Mathematical Quantum Theory I Field Theory And Many Body Theory

Mathematical Quantum Theory I Field Theory And Many Body Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematical Quantum Theory I Field Theory And Many Body Theory book. This book definitely worth reading, it is an incredibly well-written.

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 : 42,9 Mb
Release : 1994
Category : Science
ISBN : 9780821803653

Get Book

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.

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 : 46,7 Mb
Release : 2004-08-30
Category : Mathematics
ISBN : 9781482286052

Get Book

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

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 : 43,8 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662084908

Get Book

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.

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 : 40,8 Mb
Release : 2004-08-30
Category : Science
ISBN : 9781420035018

Get Book

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 : 449 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662048948

Get Book

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.

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 : 53,7 Mb
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 9783030412654

Get Book

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 : 49,7 Mb
Release : 2004-06-04
Category : Science
ISBN : 9780191523960

Get Book

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.

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 : 42,8 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335

Get Book

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.

Mathematical Quantum Theory II: Schrodinger Operators

Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen
Mathematical Quantum Theory II Schrodinger Operators Book PDF

Author : Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 52,6 Mb
Release : 1995
Category : Science
ISBN : 9780821803660

Get Book

Mathematical Quantum Theory II: Schrodinger Operators by Joel S. Feldman,Richard Gerd Froese,Lon M. Rosen Pdf

The articles in this collection constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The meeting was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The first area, quantum field theory and many-body theory, is covered in volume 1 of these proceedings. The second area, treated in the present volume, is Schrödinger operators. The meeting featured a series of four-hour mini-courses, designed to introduce students to the state of the art in particular areas, and thirty hour-long expository lectures. With contributions from some of the top experts in the field, this book is an important resource for those interested in activity at the frontiers of mathematical quantum theory.

Many-Body Theory of Solids

John C. Inkson
Many Body Theory of Solids Book PDF

Author : John C. Inkson
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781475702262

Get Book

Many-Body Theory of Solids by John C. Inkson Pdf

here exists a gap in the present literature on quantum mechanics T and its application to solids. It has been difficult to find an intro ductory textbook which could take a student from the elementary quan tum mechanical ideas of the single-particle Schrodinger equations, through the formalism and new physical concepts of many-body theory, to the level where the student would be equipped to read the scientific literature and specialized books on specific topics. The present book, which I believe fills this gap, grew out of two courses which I have given for a number of years at the University of Cambridge: "Advanced Quan tum Mechanics," covering the quantization of fields, representations, and creation and annihilation operators, and "Many Body Theory," on the application of quantum field theory to solids. The first course is a final-year undergraduate physics course while the second is a joint first and fourth-year undergraduate math year postgraduate physics course ematics course. In an American context this would closely correspond to a graduate course at the masters level. In writing this book I have tried to stress the physical aspects of the mathematics preferring where possible to introduce a technique by using a simple illustrative example rather than develop a purely formal treat ment. In order to do this I have assumed a certain familiarity with solid state physics on the level of a normal undergraduate course, but the book should also be useful to those without such a background.

Integrable Systems, Quantum Groups, and Quantum Field Theories

Alberto Ibort,M.A. Rodríguez
Integrable Systems Quantum Groups and Quantum Field Theories Book PDF

Author : Alberto Ibort,M.A. Rodríguez
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401119801

Get Book

Integrable Systems, Quantum Groups, and Quantum Field Theories by Alberto Ibort,M.A. Rodríguez Pdf

In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.

MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS

STEPHEN J. GUSTAFSON
MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS Book PDF

Author : STEPHEN J. GUSTAFSON
Publisher : Unknown
Page : 128 pages
File Size : 46,9 Mb
Release : 2020
Category : Mathematics
ISBN : 9783030595623

Get Book

MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS by STEPHEN J. GUSTAFSON Pdf

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.

Quantum Physics

Florian Scheck
Quantum Physics Book PDF

Author : Florian Scheck
Publisher : Springer Science & Business Media
Page : 746 pages
File Size : 40,7 Mb
Release : 2014-07-08
Category : Science
ISBN : 9783642345630

Get Book

Quantum Physics by Florian Scheck Pdf

Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using the path integral method and on deriving generalized path integrals for bosonic and fermionic fields.

Quantum Field Theory

G. B. Folland
Quantum Field Theory Book PDF

Author : G. B. Folland
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 46,7 Mb
Release : 2008-08-26
Category : Mathematics
ISBN : 9780821847053

Get Book

Quantum Field Theory by G. B. Folland Pdf

Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.

Quantum Theory of Many Variable Systems and Fields

B Sakita
Quantum Theory of Many Variable Systems and Fields Book PDF

Author : B Sakita
Publisher : World Scientific Publishing Company
Page : 228 pages
File Size : 40,8 Mb
Release : 1985-09-01
Category : Science
ISBN : 9789813104013

Get Book

Quantum Theory of Many Variable Systems and Fields by B Sakita Pdf

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.