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Solitons In Low Dimensional Sigma Models
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Book Synopsis Low-dimensional Sigma Models, by : W. J. Zakrzewski
Download or read book Low-dimensional Sigma Models, written by W. J. Zakrzewski and published by CRC Press. This book was released on 1989-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together established ideas and applications of sigma models and presents them together with modern applications to provide a unified and complete view of simple sigma models and the role they play in model building in field theoretical methods in elementary particle physics. The book is written for both mathematicians and physicists and is aimed at graduate students and researchers in theoretical particle physics who are interested in sigma models and those working in the general area of harmonic maps in pure mathematics.
Book Synopsis Topological Solitons by : Nicholas Manton
Download or read book Topological Solitons written by Nicholas Manton and published by Cambridge University Press. This book was released on 2004-06-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Book Synopsis Geometry and Topology of Low Dimensional Systems by : T. R. Govindarajan
Download or read book Geometry and Topology of Low Dimensional Systems written by T. R. Govindarajan and published by Springer Nature. This book was released on with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solitons, Instantons, and Twistors by : Maciej Dunajski
Download or read book Solitons, Instantons, and Twistors written by Maciej Dunajski and published by Oxford University Press, USA. This book was released on 2010 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Book Synopsis Trends in Soliton Research by : L. V. Chen
Download or read book Trends in Soliton Research written by L. V. Chen and published by Nova Publishers. This book was released on 2006 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: The long lived 'giant red spot' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the expected equipartition of energy among available modes. Covering ion-acoustic waves in a plasma, energy storage and transfer in proteins via the Davydov soliton, and, the propagation of short laser pulses in optical fibres over long distances with negligible shape change, this volume presents important research from around the globe.
Book Synopsis Quantum Non-linear Sigma-Models by : Sergei V. Ketov
Download or read book Quantum Non-linear Sigma-Models written by Sergei V. Ketov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model, illustrated by explicit multi-loop calculations in perturbation theory.
Book Synopsis Topological and Non-Topological Solitons in Scalar Field Theories by : Yakov M. Shnir
Download or read book Topological and Non-Topological Solitons in Scalar Field Theories written by Yakov M. Shnir and published by Cambridge University Press. This book was released on 2018-07-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons emerge in various non-linear systems as stable localized configurations, behaving in many ways like particles, from non-linear optics and condensed matter to nuclear physics, cosmology and supersymmetric theories. This book provides an introduction to integrable and non-integrable scalar field models with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, it brings together debates around solitary waves and construction of soliton solutions in various models and provides a discussion of solitons using simple model examples. These include the Kortenweg-de-Vries system, sine-Gordon model, kinks and oscillons, and skyrmions and hopfions. The classical field theory of scalar field in various spatial dimensions is used throughout the book in presentation of related concepts, both at the technical and conceptual level. Providing a comprehensive introduction to the description and construction of solitons, this book is ideal for researchers and graduate students in mathematics and theoretical physics.
Book Synopsis Low Dimensional Physics and Gauge Principles by : V. G. Gurzadyan
Download or read book Low Dimensional Physics and Gauge Principles written by V. G. Gurzadyan and published by World Scientific. This book was released on 2012-11-07 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solitons and Chaos by : Ioannis Antoniou
Download or read book Solitons and Chaos written by Ioannis Antoniou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Solitons and Chaos" is a response to the growing interest in systems exhibiting these two complementary manifestations of nonlinearity. The papers cover a wide range of topics but share common mathematical notions and investigation techniques. An introductory note on eight concepts of integrability has been added as a guide for the uninitiated reader. Both specialists and graduate students will find this update on the state ofthe art useful. Key points: chaos vs. integrability; solitons: theory and applications; dissipative systems; Hamiltonian systems; maps and cascades; direct vs. inverse methods; higher dimensions; Lie groups, Painleve analysis, numerical algorithms; pertubation methods.
Book Synopsis Noncommutative Geometry and Physics 2005 by : Ursula Carow-Watamura
Download or read book Noncommutative Geometry and Physics 2005 written by Ursula Carow-Watamura and published by World Scientific. This book was released on 2007 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space?time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.
Book Synopsis Supersymmetric Solitons by : M. Shifman
Download or read book Supersymmetric Solitons written by M. Shifman and published by Cambridge University Press. This book was released on 2009-02-26 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes major advances in critical solitons in supersymmetric theories, and their implications for understanding basic dynamical regularities of nonsupersymmetric theories. After an extended introduction on the theory of critical solitons, including a historical introduction, the authors focus on three topics: non-Abelian strings and confined monopoles; reducing the level of supersymmetry; and domain walls as D brane prototypes. They also provide a thorough review of issues at the cutting edge, such as non-Abelian flux tubes. The book presents an extensive summary of the current literature so researchers in this field can understand the background and related issues.
Book Synopsis Integrability, Supersymmetry and Coherent States by : Şengül Kuru
Download or read book Integrability, Supersymmetry and Coherent States written by Şengül Kuru and published by Springer. This book was released on 2019-07-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.
Author :Victor G. Bar'yakhtar Publisher :Springer Science & Business Media ISBN 13 :9780792350262 Total Pages :620 pages Book Rating :4.3/5 (52 download)
Book Synopsis Frontiers in Magnetism of Reduced Dimension Systems by : Victor G. Bar'yakhtar
Download or read book Frontiers in Magnetism of Reduced Dimension Systems written by Victor G. Bar'yakhtar and published by Springer Science & Business Media. This book was released on 1998-03-31 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers in Magnetism of Reduced Dimension Systems presents a definitive statement of our current knowledge and the state of the art in a field that has yet to achieve maturity, even though there are a number of potential applications of thin magnetic films and multilayers, such as magnetic sensors, data storage/retrieval media, actuators, etc. The book is organized into 13 chapters, each including a lecture and contributed papers on a similar subject. Five chapters deal with theoretical descriptions of electron transport phenomena, relaxation processes, nonlinear paramagnetic interactions, phase transitions and macroscopic quantum effects in magnetic films and particles. The description of different characterization techniques occupies an important place in the book. Separate chapters are dedicated to magnetic resonances (FMR, SWR, NMR), magneto-optical spectroscopy, controlling chaos, magnetoelastic phenomena and magnetic resonance force microscopy. A further chapter gives a detailed review, spread over a number of papers, of materials in current use in information storage devices.
Book Synopsis Bäcklund and Darboux Transformations by : A. A. Coley
Download or read book Bäcklund and Darboux Transformations written by A. A. Coley and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1995 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Letters written by and published by . This book was released on 2001 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Symmetry in Physics by : Robert T. Sharp
Download or read book Symmetry in Physics written by Robert T. Sharp and published by American Mathematical Soc.. This book was released on 2004-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathematiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics. The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition. The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.