Quantum Many Body Physics

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Introduction to Many-Body Physics

Author : Piers Coleman
Publisher : Cambridge University Press
ISBN 13 : 1316432025
Total Pages : 815 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Introduction to Many-Body Physics by : Piers Coleman

Download or read book Introduction to Many-Body Physics written by Piers Coleman and published by Cambridge University Press. This book was released on 2015-11-26 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Many-Body Physics in a Nutshell

Author : Edward Shuryak
Publisher : Princeton University Press
ISBN 13 : 0691175608
Total Pages : 306 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Quantum Many-Body Physics in a Nutshell by : Edward Shuryak

Download or read book Quantum Many-Body Physics in a Nutshell written by Edward Shuryak and published by Princeton University Press. This book was released on 2018-11-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Quantum Field Theory of Many-Body Systems

Author : Xiao-Gang Wen
Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics and Mathematics of Quantum Many-Body Systems

Author : Hal Tasaki
Publisher : Springer Nature
ISBN 13 : 3030412652
Total Pages : 534 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Physics and Mathematics of Quantum Many-Body Systems by : Hal Tasaki

Download or read book Physics and Mathematics of Quantum Many-Body Systems written by Hal Tasaki and published by Springer Nature. This book was released on 2020-05-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Many-Body Physics

Author : Yoshio Kuramoto
Publisher : Springer
ISBN 13 : 9784431553922
Total Pages : 261 pages
Book Rating : 4.5/5 (539 download)

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Book Synopsis Quantum Many-Body Physics by : Yoshio Kuramoto

Download or read book Quantum Many-Body Physics written by Yoshio Kuramoto and published by Springer. This book was released on 2020-02-05 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions. The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT). The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.

Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition)

Author : Willem Hendrik Dickhoff
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101318
Total Pages : 851 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) by : Willem Hendrik Dickhoff

Download or read book Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) written by Willem Hendrik Dickhoff and published by World Scientific Publishing Company. This book was released on 2008-05-02 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonequilibrium Many-Body Theory of Quantum Systems

Author : Gianluca Stefanucci
Publisher : Cambridge University Press
ISBN 13 : 1107354579
Total Pages : 619 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Nonequilibrium Many-Body Theory of Quantum Systems by : Gianluca Stefanucci

Download or read book Nonequilibrium Many-Body Theory of Quantum Systems written by Gianluca Stefanucci and published by Cambridge University Press. This book was released on 2013-03-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Author : Yuto Ashida
Publisher : Springer Nature
ISBN 13 : 9811525803
Total Pages : 243 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by : Yuto Ashida

Download or read book Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Many-Body Problems and Quantum Field Theory

Author : Philippe Andre Martin
Publisher : Springer Science & Business Media
ISBN 13 : 3662084902
Total Pages : 442 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Many-Body Problems and Quantum Field Theory by : Philippe Andre Martin

Download or read book Many-Body Problems and Quantum Field Theory written by Philippe Andre Martin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Theory of Many-Body Systems

Author : Alexandre Zagoskin
Publisher : Springer Science & Business Media
ISBN 13 : 1461205956
Total Pages : 238 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Quantum Theory of Many-Body Systems by : Alexandre Zagoskin

Download or read book Quantum Theory of Many-Body Systems written by Alexandre Zagoskin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. '

The Many-Body Problem in Quantum Mechanics

Author : Norman Henry March
Publisher : Courier Corporation
ISBN 13 : 0486687546
Total Pages : 482 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis The Many-Body Problem in Quantum Mechanics by : Norman Henry March

Download or read book The Many-Body Problem in Quantum Mechanics written by Norman Henry March and published by Courier Corporation. This book was released on 1995-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.

Many-Body Theory of Solids

Author : John C. Inkson
Publisher : Springer Science & Business Media
ISBN 13 : 1475702264
Total Pages : 333 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Many-Body Theory of Solids by : John C. Inkson

Download or read book Many-Body Theory of Solids written by John C. Inkson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Quantum Mechanics of Many-Body Systems

Author : D.J. Thouless
Publisher : Courier Corporation
ISBN 13 : 0486493571
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Quantum Mechanics of Many-Body Systems by : D.J. Thouless

Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless and published by Courier Corporation. This book was released on 2014-01-15 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Quantum Theory of Many-Particle Systems

Author : Alexander L. Fetter
Publisher : Courier Corporation
ISBN 13 : 048613475X
Total Pages : 626 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Quantum Theory of Many-Particle Systems by : Alexander L. Fetter

Download or read book Quantum Theory of Many-Particle Systems written by Alexander L. Fetter and published by Courier Corporation. This book was released on 2012-03-08 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Many-body Physics

Author : Wolfgang Nolting
Publisher : Springer Science & Business Media
ISBN 13 : 354071930X
Total Pages : 607 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Fundamentals of Many-body Physics by : Wolfgang Nolting

Download or read book Fundamentals of Many-body Physics written by Wolfgang Nolting and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the present course on “Fundamentals of Theoretical Physics” is to be a direct accompaniment to the lower-division study of physics, and it aims at providing the ph- ical tools in the most straightforward and compact form as needed by the students in order to master theoretically more complex topics and problems in advanced studies and in research. The presentation is thus intentionally designed to be suf?ciently detailed and self-contained – sometimes, admittedly, at the cost of a certain elegance – to permit in- vidual study without reference to the secondary literature. This volume deals with the quantum theory of many-body systems. Building upon a basic knowledge of quantum mechanics and of statistical physics, modern techniques for the description of interacting many-particle systems are developed and applied to various real problems, mainly from the area of solid-state physics. A thorough revision should guarantee that the reader can access the relevant research literature without experiencing major problems in terms of the concepts and vocabulary, techniques and deductive methods found there. The world which surrounds us consists of very many particles interacting with one another, and their description requires in principle the solution of a corresponding number ofcoupledquantum-mechanicalequationsofmotion(Schrodinger ̈ equations),which,h- ever, is possible only in exceptional cases in a mathematically strict sense. The concepts of elementary quantum mechanics and quantum statistics are therefore not directly applicable in the form in which we have thus far encountered them. They require an extension and restructuring, which is termed “many-body theory”.

Advanced Quantum Condensed Matter Physics

Author : Michael El-Batanouny
Publisher : Cambridge University Press
ISBN 13 : 1108480845
Total Pages : 839 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Advanced Quantum Condensed Matter Physics by : Michael El-Batanouny

Download or read book Advanced Quantum Condensed Matter Physics written by Michael El-Batanouny and published by Cambridge University Press. This book was released on 2020-03-26 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on an established course, this comprehensive textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives. Discussing modern topics and containing end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.