topology geometry physics

Many-body Physics, Topology And Geometry【電子書籍】 Siddhartha Sen理論物理学のための幾何学とトポロジー 2 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳 本/雑誌 / 中原幹夫/著 久木田真吾/訳 佐久間一浩/訳 中原幹夫/訳 綿村尚毅/訳理論物理学のための幾何学とトポロジー 1 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳 本/雑誌 / 中原幹夫/著 中原幹夫/訳 佐久間一浩/訳A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)【電子書籍】 Antonio Sergio Teixeira PiresDifferential Topology and Geometry with Applications to Physics【電子書籍】 Eduardo Nahmad-AcharTopology and Geometry for Physics【電子書籍】 Helmut EschrigGeometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles, The【電子書籍】 Richard WentworthDifferential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields【電子書籍】 Gerd RudolphMathematical Methods for Physics An Introduction to Group Theory, Topology and Geometry【電子書籍】 Esko Keski-VakkuriApplications Of Contact Geometry And Topology In Physics【電子書籍】 Arkady L KholodenkoGeometry, Topology and Physics【電子書籍】 Mikio NakaharaComputational Geometry, Topology and Physics of Digital Images with Applications Shape Complexes, Optical Vortex Nerves and Proximities【電子書籍】 James F. Peters
 

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  • <p>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 differen...
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  • ご注文前に必ずご確認ください<商品説明>トポロジーと幾何学を統一的に扱う。盛んに研究されている物理学分野への応用も解説。内容を更新し、数学的な補足もさらに充実した新版。<収録内容>第9章 ファイバー束第10章 ファイバー束上の接続第11章 特性類第12章 指数定理第13章 ゲージ場理論におけるアノマリー第14章 ボソン的弦理論<商品詳細>商品番号:NEOBK-2658417Nakahara Mikio / Cho Hisashi Kida Shin Ware / Yaku Sakuma Kazuhiro / Yaku Nakahara Mikio / Yaku Wata Mura Nao Atsushi / Yaku / Riron Butsuri Gaku No Tame No Kika Gaku to Topology 2 / Hara Title : GEOMETRY TOPOLOGY and PHYSICS Gencho Dai2 Han No Honyakuメディア:本/雑誌重量:340g発売日:2021/09JAN:9784535788077理論物理学のための幾何学とトポロジー 2 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 久木田真吾/訳 佐久間一浩/訳 中原幹夫/訳 綿村尚毅/訳2021/09発売
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  • ご注文前に必ずご確認ください<商品説明>理論物理学を学ぶ際に必須な現代数学のエッセンス。物理学に広く応用されるトポロジーと幾何学を解説。経路積分の説明を補い、内容を再編成した。数学的な補足も充実。<収録内容>第1章 量子物理学第2章 数学からの準備第3章 ホモロジー群第4章 ホモトピー群第5章 多様体論第6章 de Rhamコホモロジー群第7章 Riemann幾何学第8章 複素多様体<商品詳細>商品番号:NEOBK-2302343Nakahara Mikio / Cho Nakahara Mikio / Yaku Sakuma Kazuhiro / Yaku / Riron Butsuri Gaku No Tame No Kika Gaku to Topology 1 / Hara Title : GEOMETRY TOPOLOGY and PHYSICS Gencho Dai2 Han No Honyakuメディア:本/雑誌発売日:2018/11JAN:9784535788060理論物理学のための幾何学とトポロジー 1 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 中原幹夫/訳 佐久間一浩/訳2018/11発売
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  • <p>Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory.</p> <p><strong>Key Features:</strong></p> <ul> <li> <p>Provides an introduction to path integral formalism</p> </li> <li> <p>Introduces all the basic concepts in differential geometry and topology</p> </li> <li> <p>Presents the quantum Hall effect using topology concepts...
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  • <p>Differential geometry has encountered numerous applications in physics. More and more physical concepts considered as fundamental can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, general theory of relativity, string theory and 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 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 boo...
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  • <p>A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ng? Bau Ch?u's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:</p> <p>- Geometry and topology of fibre bundles,</p> <p>- Clifford algebras, spin structures and Dirac operators,</p> <p>- Gauge theory.</p> <p>Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.</p> <p>The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.</p> <p>Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of var...
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  • <p>This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering. The material has been subject to more than twenty years of feedback from students, ensuring that explanations and examples are lucid and considered, and numerous worked examples and exercises reinforce key concepts and further strengthen readers' understanding. This text unites a wide variety of important topics that are often scattered across different books, and provides a solid platform for more specialized study or research.</p>画面が切り...
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  • <p>Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges “An Introduction to Contact Topology” (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph “Contact Geometry and Nonlinear Differential Equations” (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mecha...
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  • <p>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. <strong>Geometry, Topology and Physics, Second Edition</strong> introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields.</p> <p>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 h...
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  • <p>This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes.</p> <p>The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, co...
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