Topology of Gauge Fields and Condensed Matter, M. Monastyrsky

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Автор: Gregory L. Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1461426820 ISBN-13(EAN): 9781461426820
Издательство: Springer
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Описание: Reflecting fresh mutual interest between mathematics and physics, this updated second edition interweaves rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that are their mathematical models.

Автор: G.S. Asanov
Название: Finsler Geometry, Relativity and Gauge Theories
ISBN: 9027719608 ISBN-13(EAN): 9789027719607
Издательство: Springer
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Цена: 36570.00 р.
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Автор: M. Chaichian; J. Estrin; N. F. Nelipa
Название: Introduction to Gauge Field Theories
ISBN: 3642821790 ISBN-13(EAN): 9783642821790
Издательство: Springer
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Цена: 9794.00 р.
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Описание: This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions.

Автор: J.V. Narlikar; T. Padmanabhan
Название: Gravity, Gauge Theories and Quantum Cosmology
ISBN: 9027719489 ISBN-13(EAN): 9789027719485
Издательство: Springer
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Автор: Somendra Mohan Bhattacharjee; Mahan Mj; Abhijit Ba
Название: Topology and Condensed Matter Physics
ISBN: 9811068402 ISBN-13(EAN): 9789811068409
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The physics section starts with an introduction and then goes on to topics in quantum mechanics, statistical mechanics of polymers, knots, and vertex models, solid state physics, exotic excitations such as Dirac quasiparticles, Majorana modes, Abelian and non-Abelian anyons.

Автор: Andr? Burnel
Название: Noncovariant Gauges in Canonical Formalism
ISBN: 3642089402 ISBN-13(EAN): 9783642089404
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book presents a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. It serves as an ideal introduction to postgraduate students, lecturers and researchers in the field.

Автор: David P. Landau; Steven P. Lewis; Heinz-Bernd Sch?
Название: Computer Simulation Studies in Condensed-Matter Physics XIX
ISBN: 364209922X ISBN-13(EAN): 9783642099229
Издательство: Springer
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Цена: 36197.00 р.
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Описание: A report that features the developments in the field, spanning a range of topical areas in the computer simulation of condensed matter/materials physics. It includes topics that range from the statistical mechanics of classical magnetic spin models to electronic structure calculations, quantum simulations, and simulations of soft condensed matter.

Автор: Bruno Nachtergaele; Elliott H. Lieb; Jan Philip So
Название: Condensed Matter Physics and Exactly Soluble Models
ISBN: 3642060935 ISBN-13(EAN): 9783642060939
Издательство: Springer
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Описание: This is the third Selecta of publications of Elliott Lieb, the first two being Stabil- ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai.

Автор: Naoto Nagaosa; S. Heusler
Название: Quantum Field Theory in Condensed Matter Physics
ISBN: 3642084850 ISBN-13(EAN): 9783642084850
Издательство: Springer
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Цена: 13059.00 р.
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Описание: Why is quantum field theory of condensed matter physics necessary? Condensed matter physics deals with a wide variety of topics, ranging from gas to liquids and solids, as well as plasma, where owing to the inter- play between the motions of a tremendous number of electrons and nuclei, rich varieties of physical phenomena occur. Quantum field theory is the most appropriate "language," to describe systems with such a large number of de- grees of freedom, and therefore its importance for condensed matter physics is obvious. Indeed, up to now, quantum field theory has been succesfully ap- plied to many different topics in condensed matter physics. Recently, quan- tum field theory has become more and more important in research on the electronic properties of condensed systems, which is the main topic of the present volume. Up to now, the motion of electrons in solids has been successfully de- scribed by focusing on one electron and replacing the Coulomb interaction of all the other electrons by a mean field potential. This method is called mean field theory, which made important contributions to the explanantion of the electronic structure in solids, and led to the classification of insulators, semiconductors and metals in terms of the band theory. It might be said that also the present achievements in the field of semiconductor technology rely on these foundations. In the mean field approximation, effects that arise due to the correlation of the motions of many particles, cannot be described.

Автор: Martins
Название: Defect Evolution in Cosmology and Condensed Matter
ISBN: 3319445510 ISBN-13(EAN): 9783319445519
Издательство: Springer
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Описание: This book sheds new light on topological defects in widely differing systems, using the Velocity-Dependent One-Scale Model to better understand their evolution. Topological defects – cosmic strings, monopoles, domain walls or others - necessarily form at cosmological (and condensed matter) phase transitions. If they are stable and long-lived they will be fossil relics of higher-energy physics. Understanding their behaviour and consequences is a key part of any serious attempt to understand the universe, and this requires modelling their evolution. The velocity-dependent one-scale model is the only fully quantitative model of defect network evolution, and the canonical model in the field. This book provides a review of the model, explaining its physical content and describing its broad range of applicability.