Introduction To Modern Methods Of Quantum Many-body Theory And Their Applications

Introduction To Modern Methods Of Quantum Many-body Theory And Their Applications
Author: Adelchi Fabrocini
Publisher: World Scientific
Total Pages: 427
Release: 2002-08-19
Genre: Science
ISBN: 9814488135

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This invaluable book contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories — the methods of density functional theory, coupled cluster theory, and correlated basis functions — in their widest sense. Other 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 that are 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. It should, therefore, provide useful reference material for a broad range of theoretical physicists in condensed-matter and nuclear theory.

Quantum Theory of Many-Body Systems

Quantum Theory of Many-Body Systems
Author: Alexandre Zagoskin
Publisher: Springer
Total Pages: 291
Release: 2014-06-26
Genre: Technology & Engineering
ISBN: 3319070495

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This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, uses the mathematical formalism of quasiparticles and Green’s functions. In particular, it covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory and the Matsubara, Keldysh and Nambu-Gor'kov formalism, as well as an introduction to Feynman path integrals. This new edition contains an introduction to the methods of theory of one-dimensional systems (bosonization and conformal field theory) and their applications to many-body problems. Intended for graduate students in physics and related fields, the aim is not to be exhaustive, but to present enough detail to enable the student 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 their volume and which therefore provides an ideal testing ground for many-body theories.

Quantum Theory of Many-Body Systems

Quantum Theory of Many-Body Systems
Author: Alexandre Zagoskin
Publisher: Springer Science & Business Media
Total Pages: 238
Release: 2012-12-06
Genre: Science
ISBN: 1461205956

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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. '

Nonequilibrium Many-Body Theory of Quantum Systems

Nonequilibrium Many-Body Theory of Quantum Systems
Author: Gianluca Stefanucci
Publisher: Cambridge University Press
Total Pages: 619
Release: 2013-03-07
Genre: Science
ISBN: 1107354579

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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.

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

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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.

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

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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.

Introduction to Many-Body Physics

Introduction to Many-Body Physics
Author: Piers Coleman
Publisher: Cambridge University Press
Total Pages: 815
Release: 2015-11-26
Genre: Science
ISBN: 1316432025

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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 Many-Body Problem in Quantum Mechanics

The Many-Body Problem in Quantum Mechanics
Author: Norman Henry March
Publisher: Courier Corporation
Total Pages: 482
Release: 1995-01-01
Genre: Science
ISBN: 0486687546

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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.

Pairing In Fermionic Systems: Basic Concepts And Modern Applications

Pairing In Fermionic Systems: Basic Concepts And Modern Applications
Author: Armen Sedrakian
Publisher: World Scientific
Total Pages: 297
Release: 2006-11-29
Genre: Science
ISBN: 9814477370

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Cooper pairing of fermions is a profound phenomenon that has become very important in many different areas of physics in the recent past. This book brings together, for the first time, experts from various fields involving Cooper pairing, at the level of BCS theory and beyond, including the study of novel states of matter such as ultracold atomic gases, nuclear systems at the extreme, and quark matter with application to neutron stars. Cross-disciplinary in nature, the book will be of interest to physicists in many different specialties, including condensed matter, nuclear, high-energy, and astrophysics. The emphasis is on novel issues beyond ordinary BCS theory such as pairing in asymmetric systems, the polarization effect, and higher spin pairing. These topics are rarely treated at the textbook level and all of them are the subjects of intensive ongoing research. The book also considers various new techniques widely used in current research that differ significantly from the conventional condensed matter approaches described in the standard literature.

Recent Progress In Many-body Theories - Proceedings Of The 13th International Conference

Recent Progress In Many-body Theories - Proceedings Of The 13th International Conference
Author: Horacio Cataldo
Publisher: World Scientific
Total Pages: 423
Release: 2006-09-07
Genre: Science
ISBN: 9814477001

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This conference series is now firmly established as one of the premier series of international meetings in the field of many-body physics. The current volume maintains the tradition of covering the entire spectrum of theoretical tools developed to tackle important and current quantum many-body problems. It aims to foster the exchange of ideas and techniques among physicists working in diverse subfields of physics, such as nuclear and sub-nuclear physics, astrophysics, atomic and molecular physics, quantum chemistry, complex systems, quantum field theory, strongly correlated electronic systems, magnetism, quantum fluids and condensed matter physics. The highlights of this book include state-of-the-art contributions to the understanding of supersolid helium, BEC-BCS crossover, fermionic BEC, quantum phase transitions, computing, simulations, as well as the latest results on the more traditional topics of liquid helium, droplets, nuclear and electronic systems. This volume demonstrates the vitality and the fundamental importance of many-body theories, techniques, and applications in understanding diverse and novel phenomena at the cutting-edge of physics. It contains most of the invited talks plus a selection of excellent poster presentations.