A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids.

Author: Piers Coleman

Publisher: Cambridge University Press

ISBN: 9781316432020

Category: Science

Page:

View: 552

A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.

Author: Siddhartha Sen

Publisher: World Scientific

ISBN: 9789814678186

Category: Science

Page: 220

View: 898

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

5,600 Flash Cards. Q & A FlashCards, Ebooks, Textbooks, Courses, Books Simplified as FlashCards by Powell Publications. Very effective study tools especially when you only have a limited amount of time.

This book is a multi-purpose and user-friendly textbook covering both fundamentals (in thermodynamics and statistical mechanics) and numerous applications.

Author: Michael Bonitz

Publisher: Rinton PressInc

ISBN: UCSD:31822035224823

Category: Science

Page: 400

View: 752

This book is a multi-purpose and user-friendly textbook covering both fundamentals (in thermodynamics and statistical mechanics) and numerous applications. The emphasis is on simple derivations of simple results which can be compared with experimental data. The first half of the book covers basic thermodynamics, statistical ensembles, Boltzmann and quantum statistics; and the second half covers magnetism, electrostatic interactions (solutions and plasmas), non-equilibrium statistical mechanics, polymers, superfluidity, renormalization theory, and other specialized topics. This book, while serving well as a reference book for research scientists, is especially suitable as a textbook for a one-year statistical mechanics course for undergraduate students in physics, chemistry, engineering, biology, and material sciences. Alternatively, the first 5 chapters of the book can be used as the textbook for an undergraduate one-semester combined thermodynamics/statistical mechanics course (or statistical thermodynamics).

Author: Philippe Andre MartinPublish On: 2013-04-17

The new edition features a substantially new treatment of nucleon pairing. "Many-Body Problems and Quantum Field Theory" introduces the concepts and methods of the topics on a level suitable for graduate students and researchers.

Author: Philippe Andre Martin

Publisher: Springer Science & Business Media

ISBN: 9783662084908

Category: Science

Page: 438

View: 470

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 ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates This book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and ...

Author: Edward Shuryak

Publisher: Princeton University Press

ISBN: 9780691175607

Category: Science

Page: 312

View: 856

The ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates This book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and nuclear physics, condensed matter, and particle physics. Unlike other textbooks on the subject, it covers topics across a broad range of physical fields—phenomena as well as theoretical tools—and does so in a simple and accessible way. Edward Shuryak begins with Feynman diagrams of the quantum and statistical mechanics of a particle; in these applications, the diagrams are easy to calculate and there are no divergencies. He discusses the renormalization group and illustrates its uses, and covers systems such as weakly and strongly coupled Bose and Fermi gases, electron gas, nuclear matter, and quark-gluon plasmas. Phenomena include Bose condensation and superfluidity. Shuryak also looks at Cooper pairing and superconductivity for electrons in metals, liquid 3He, nuclear matter, and quark-gluon plasma. A recurring topic throughout is topological matter, ranging from ensembles of quantized vortices in superfluids and superconductors to ensembles of colored (QCD) monopoles and instantons in the QCD vacuum. Proven in the classroom, Quantum Many-Body Physics in a Nutshell is the ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates. Teaches students how quantum many-body systems work across many fields of physics Uses path integrals from the very beginning Features the easiest introduction to Feynman diagrams available Draws on the most recent findings, including trapped Fermi and Bose atomic gases Guides students from traditional systems, such as electron gas and nuclear matter, to more advanced ones, such as quark-gluon plasma and the QCD vacuum

The book is an introduction to quantum field theory applied to condensed matter physics.

Author: Henrik Bruus

Publisher: Oxford University Press

ISBN: 9780198566335

Category: Science

Page: 435

View: 833

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.

Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied.

Author: Ladislav Šamaj

Publisher: Cambridge University Press

ISBN: 9781107067660

Category: Science

Page:

View: 771

Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz. Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics.

Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more.

Author: Richard D. Mattuck

Publisher: Courier Corporation

ISBN: 9780486131641

Category: Science

Page: 464

View: 690

Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.

The book contains pedagogical articles on the dominant non-stochastic methods of microscopic many-body theories: Density functional theory, coupled cluster theory, and correlated basis functions methods in their widest sense.

Author: A. Fabrocini

Publisher: World Scientific

ISBN: 9812380698

Category: Science

Page: 413

View: 213

The book contains pedagogical articles on the dominant non-stochastic methods of microscopic many-body theories: Density functional theory, coupled cluster theory, and correlated basis functions methods in their widest sense. Further articles introduce students to applications of these methods in front -- line research such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only serve as a collection of information relevant to those who attended the school, but it provides be useful reference material to a broad range of theoretical physicists in condensed matter and nuclear theory.

Lindgren· J. Morrison Preface to the First Edition This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several oth er research centers.

Author: Ingvar Lindgren

Publisher: Springer Science & Business Media

ISBN: 9783642616402

Category: Science

Page: 484

View: 984

In the new edition only minor modifications have been made. Some print ing errors have been corrected and a few clarifications have been made. In recent years the activity in relativistic many-body theory has increased con siderably, but this field falls outside the scope of this book. A brief summary of the recent developments, however, has been included in the section on "relativistic effects" in Chap. 14. In addition, only a very limited number of references have been added, without any systematic updating of the material. Goteborg, December 1985 l. Lindgren· J. Morrison Preface to the First Edition This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several oth er research centers. These courses were intended to make the basic elements of atomic theory available to experimentalists working with the hyperfine structure and the optical properties of atoms and to provide some insight into recent developments in the theory.

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 ...

Author: Alexander L. Fetter

Publisher: Courier Corporation

ISBN: 9780486134758

Category: Science

Page: 640

View: 298

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.

In the present volume, Phillip J. Siemens, who has been a seminal contributor to our understanding of the nucleus as a many-body system, and his able collabourator, Aksel S. Jensen, introduce graduate students and colleagues in other fields ...

Author: Philip J. Siemens

Publisher: CRC Press

ISBN: 9780429973536

Category: Science

Page: 384

View: 606

In the present volume, Phillip J. Siemens, who has been a seminal contributor to our understanding of the nucleus as a many-body system, and his able collabourator, Aksel S. Jensen, introduce graduate students and colleagues in other fields to the basic concepts of nuclear physics in a way which connects clearly the methods of nuclear physics with those of condensed matter, atomic, and particle physics. Their book thus provides a lucid introduction to the key facts and concepts of nuclei, including many of the most recent developments, while emphasizing the similarities and the differences between the behaviour of nuclei, atoms, elementary particles, and condensed matter, It should thus prove useful, not only as a text for an introductory graduate course in nuclear physics, but as a reference book for all scientists interested in a unified picture of our understanding of physical phenomena associated with many-body systems.

This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

Author: Shi-Ju Ran

Publisher: Springer Nature

ISBN: 9783030344894

Category: Electronic books

Page: 150

View: 396

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K.G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

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 ...

Author: Michael Stone

Publisher: Springer Science & Business Media

ISBN: 9781461205074

Category: Science

Page: 271

View: 701

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.

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research.

Author: Alexander Altland

Publisher: Cambridge University Press

ISBN: 9780521769754

Category: Science

Page: 770

View: 524

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.

This book presents in a short volume the basics of quantum field theory and many body physics.

Author: Shau-Jin Chang

Publisher: World Scientific

ISBN: 9971506815

Category: Science

Page: 382

View: 497

This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.