introduction to many body physics

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Introduction To Many Body Physics

Author : Piers Coleman
ISBN : 9780521864886
Genre : Science
File Size : 69. 76 MB
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Explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.

Many Body Quantum Theory In Condensed Matter Physics

Author : Henrik Bruus
ISBN : 9780198566335
Genre : Science
File Size : 32. 47 MB
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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.

Fundamentals Of Many Body Physics

Author : Wolfgang Nolting
ISBN : 9783540719304
Genre : Science
File Size : 47. 4 MB
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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”.

Many Body Physics Topology And Geometry

Author : Siddhartha Sen
ISBN : 9789814678186
Genre : Science
File Size : 44. 66 MB
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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

Many Body Problems And Quantum Field Theory

Author : Philippe-André Martin
ISBN : 9783662084908
Genre : Science
File Size : 51. 89 MB
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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.

The Many Body Problem In Quantum Mechanics

Author : Norman Henry March
ISBN : 0486687546
Genre : Science
File Size : 54. 91 MB
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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.

Nonequilibrium Many Body Theory Of Quantum Systems

Author : Gianluca Stefanucci
ISBN : 9781107354579
Genre : Science
File Size : 35. 58 MB
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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.

Introduction To Computational Methods In Many Body Physics

Author : Michael Bonitz
ISBN : UCSD:31822035224823
Genre : Science
File Size : 81. 33 MB
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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).

Quantum Theory Of Many Particle Systems

Author : Alexander L. Fetter
ISBN : 9780486134758
Genre : Science
File Size : 23. 20 MB
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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.

Many Particle Physics

Author : Gerald D. Mahan
ISBN : 9781475757149
Genre : Science
File Size : 40. 40 MB
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The first, second, and third editions of this book seem to occur at ten year intervals. The intent is to keep the book up-to-date. Many-body theory is a field which continually evolves in time. Journals only publish new results, conferences only invite speakers to report new phenomena, and agencies only fund scientists to do new physics. Today's physics is old hat by tomorrow. Students want to learn new material, and textbooks must be modified to keep up with the times. The early chapters in this book teach the techniques of many-body theory. They are largely unchanged in format. The later chapters apply the techniques to specific problems. The third edition increases the number of applications. New sections have been added, while old sections have been modified to include recent applications. The previous editions were set in type using pre-computer technology. No computer file existed of the prior editions. The publisher scanned the second edition and gave me a disk with the contents. This scan recorded the words accurately and scrambled the equations into unintelligible form. So I retyped the equations using LaTeX. Although tedious, it allowed me to correct the infinite numbers of typographical errors in the previous edition. The earlier typesetting methods did not permit such corrections. The entire book was edited sentence-by sentence. Most old sections of the book were shortened by editing sentences and paragraphs.

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