Geometry In Condensed Matter Physics

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Geometry in Condensed Matter Physics

Author : J. F. Sadoc
Publisher : World Scientific
ISBN 13 : 9789810200893
Total Pages : 318 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Geometry in Condensed Matter Physics by : J. F. Sadoc

Download or read book Geometry in Condensed Matter Physics written by J. F. Sadoc and published by World Scientific. This book was released on 1990 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of geometry has become an important ingredient in condensed matter physics. It appears not only to describe, but also to explain structures and their properties. There are two aspects to using geometry: the visual and intuitive understanding, which fosters an immediate grasp of the objects one studies, and the abstract tendency so well developed in the Riemannian manifold theory. Both aspects contribute to the same understanding when they are applied to the main problems occurring in condensed matter sciences. Sophisticated structures found in nature appear naturally as the result of simple constraints which are presented in geometrical terms. Blue phases, amorphous and glassy materials, Frank and Kasper Metals, quasi-crystals are approached in their complexity, using the simple principles of geometry. The relation between biology and liquid crystal sciences, the physics of membranes is a fundamental aspect presented in this book.

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics

Author : Antonio Sergio Teixeira Pires
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643273744
Total Pages : 171 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics by : Antonio Sergio Teixeira Pires

Download or read book A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics written by Antonio Sergio Teixeira Pires and published by Morgan & Claypool Publishers. This book was released on 2019-03-21 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

Morphology of Condensed Matter

Author : Klaus R. Mecke
Publisher : Springer Science & Business Media
ISBN 13 : 3540442030
Total Pages : 452 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Morphology of Condensed Matter by : Klaus R. Mecke

Download or read book Morphology of Condensed Matter written by Klaus R. Mecke and published by Springer Science & Business Media. This book was released on 2002-12-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas.

Topology and Geometry for Physicists

Author : Charles Nash
Publisher : Courier Corporation
ISBN 13 : 0486318362
Total Pages : 302 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Topology and Geometry for Physicists by : Charles Nash

Download or read book Topology and Geometry for Physicists written by Charles Nash and published by Courier Corporation. This book was released on 2013-08-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

Topology and Condensed Matter Physics

Author : Somendra Mohan Bhattacharjee
Publisher : Springer
ISBN 13 : 9811068410
Total Pages : 519 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Topology and Condensed Matter Physics by : Somendra Mohan Bhattacharjee

Download or read book Topology and Condensed Matter Physics written by Somendra Mohan Bhattacharjee and published by Springer. This book was released on 2017-12-20 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedagogy. The aim is to bridge the language barrier between physics and mathematics, as well as the different specializations in physics. Pitched at the level of a graduate student of physics, this book does not assume any additional knowledge of mathematics or physics. It is therefore suited for advanced postgraduate students as well. A collection of selected problems will help the reader learn the topics on one's own, and the broad range of topics covered will make the text a valuable resource for practising researchers in the field. The book consists of two parts: one corresponds to developing the necessary mathematics and the other discusses applications to physical problems. The section on mathematics is a quick, but more-or-less complete, review of topology. The focus is on explaining fundamental concepts rather than dwelling on details of proofs while retaining the mathematical flavour. There is an overview chapter at the beginning and a recapitulation chapter on group theory. 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. Quantum spin liquids and quantum information-processing are also covered in some detail.

Geometry, Topology and Physics

Author : Mikio Nakahara
Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometry, Topology and Physics by : Mikio Nakahara

Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Topology in Condensed Matter

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 3540312641
Total Pages : 263 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topology in Condensed Matter by : Michael I. Monastyrsky

Download or read book Topology in Condensed Matter written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.

Topology and Geometry in Physics

Author : Eike Bick
Publisher : Springer
ISBN 13 : 9783642062094
Total Pages : 0 pages
Book Rating : 4.0/5 (62 download)

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Book Synopsis Topology and Geometry in Physics by : Eike Bick

Download or read book Topology and Geometry in Physics written by Eike Bick and published by Springer. This book was released on 2010-02-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.

Topology of Gauge Fields and Condensed Matter

Author : M. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 1489924035
Total Pages : 372 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Topology of Gauge Fields and Condensed Matter by : M. Monastyrsky

Download or read book Topology of Gauge Fields and Condensed Matter written by M. Monastyrsky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.

Twistor Geometry and Field Theory

Author : R. S. Ward
Publisher : Cambridge University Press
ISBN 13 : 9780521422680
Total Pages : 534 pages
Book Rating : 4.4/5 (226 download)

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Book Synopsis Twistor Geometry and Field Theory by : R. S. Ward

Download or read book Twistor Geometry and Field Theory written by R. S. Ward and published by Cambridge University Press. This book was released on 1990 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, and several complex variables.

Geometry of Quantum States

Author : Ingemar Bengtsson
Publisher : Cambridge University Press
ISBN 13 : 1108293492
Total Pages : 637 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Geometry of Quantum States by : Ingemar Bengtsson

Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Condensed Matter Physics

Author : Michael P. Marder
Publisher : John Wiley & Sons
ISBN 13 : 0470949945
Total Pages : 985 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Condensed Matter Physics by : Michael P. Marder

Download or read book Condensed Matter Physics written by Michael P. Marder and published by John Wiley & Sons. This book was released on 2010-11-17 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now updated—the leading single-volume introduction to solid state and soft condensed matter physics This Second Edition of the unified treatment of condensed matter physics keeps the best of the first, providing a basic foundation in the subject while addressing many recent discoveries. Comprehensive and authoritative, it consolidates the critical advances of the past fifty years, bringing together an exciting collection of new and classic topics, dozens of new figures, and new experimental data. This updated edition offers a thorough treatment of such basic topics as band theory, transport theory, and semiconductor physics, as well as more modern areas such as quasicrystals, dynamics of phase separation, granular materials, quantum dots, Berry phases, the quantum Hall effect, and Luttinger liquids. In addition to careful study of electron dynamics, electronics, and superconductivity, there is much material drawn from soft matter physics, including liquid crystals, polymers, and fluid dynamics. Provides frequent comparison of theory and experiment, both when they agree and when problems are still unsolved Incorporates many new images from experiments Provides end-of-chapter problems including computational exercises Includes more than fifty data tables and a detailed forty-page index Offers a solutions manual for instructors Featuring 370 figures and more than 1,000 recent and historically significant references, this volume serves as a valuable resource for graduate and undergraduate students in physics, physics professionals, engineers, applied mathematicians, materials scientists, and researchers in other fields who want to learn about the quantum and atomic underpinnings of materials science from a modern point of view.

Principles of Condensed Matter Physics

Author : P. M. Chaikin
Publisher : Cambridge University Press
ISBN 13 : 1139643053
Total Pages : 724 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Principles of Condensed Matter Physics by : P. M. Chaikin

Download or read book Principles of Condensed Matter Physics written by P. M. Chaikin and published by Cambridge University Press. This book was released on 2000-09-28 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter, based on symmetries and conservation laws. It explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions, as well as discussing the structure and properties of materials with different symmetries. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalised rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.

Differential Topology and Geometry with Applications to Physics

Author : Eduardo Nahmad-Achar
Publisher :
ISBN 13 : 9780750320726
Total Pages : 0 pages
Book Rating : 4.3/5 (27 download)

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Book Synopsis Differential Topology and Geometry with Applications to Physics by : Eduardo Nahmad-Achar

Download or read book Differential Topology and Geometry with Applications to Physics written by Eduardo Nahmad-Achar and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, of the general theory of relativity, of string theory, and of gauge theories, to name but a few, are of a geometric nature. All of these disciplines require a curved space for the description of a system, and we require a mathematical formalism that can handle the dynamics in such spaces if we wish to go beyond a simple and superficial discussion of physical relationships. This formalism is precisely differential geometry. Even areas like thermodynamics and fluid mechanics greatly benefit from a differential geometric treatment. Not only in physics, but in important branches of mathematics has differential geometry effected important changes. Aimed at graduate students and requiring only linear algebra and differential and integral calculus, this book presents, in a concise and direct manner, the appropriate mathematical formalism and fundamentals of differential topology and differential geometry together with essential applications in many branches of physics." -- Prové de l'editor.

Advanced Condensed Matter Physics

Author : Leonard M. Sander
Publisher : Cambridge University Press
ISBN 13 : 1139476459
Total Pages : 275 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Condensed Matter Physics by : Leonard M. Sander

Download or read book Advanced Condensed Matter Physics written by Leonard M. Sander and published by Cambridge University Press. This book was released on 2009-02-19 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text includes coverage of important topics that are not commonly featured in other textbooks on condensed matter physics; these include surfaces, the quantum Hall effect and superfluidity. The author avoids complex formalism, such as Green's functions, which can obscure the underlying physics, and instead emphasizes fundamental physical reasoning. This text is intended for classroom use, so it features plenty of references and extensive problems for solution based on the author's many years of teaching in the Physics Department at the University of Michigan. This textbook is ideal for physics graduates as well as students in chemistry and engineering; it can equally serve as a reference for research students in condensed matter physics. Engineering students in particular, will find the treatment of the fundamentals of semiconductor devices and the optics of solids of particular interest.

Energy and Geometry

Author : Fabio Cardone
Publisher : World Scientific
ISBN 13 : 9812387285
Total Pages : 161 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Energy and Geometry by : Fabio Cardone

Download or read book Energy and Geometry written by Fabio Cardone and published by World Scientific. This book was released on 2004 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Relativity (SR) is essentially grounded on the properties of space-time, i.e. isotropy of space and homogeneity of space and time (as a consequence of the equivalence of inertial frames) and on the Galilei principle of relativity.

The Geometric Phase in Quantum Systems

Author : Arno Bohm
Publisher : Springer Science & Business Media
ISBN 13 : 3662103338
Total Pages : 447 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Geometric Phase in Quantum Systems by : Arno Bohm

Download or read book The Geometric Phase in Quantum Systems written by Arno Bohm and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).