Topological Quantum Numbers In Nonrelativistic Physics

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Topological Quantum Numbers In Nonrelativistic Physics
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Author : Thouless
language : en
Publisher: World Scientific
Release Date : 1998
Topological Quantum Numbers In Nonrelativistic Physics written by Thouless and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed. They have become very important in precision measurements in recent years, and provide the best measurements of voltage and electrical resistance. This book describes the theory of such quantum numbers, starting with Dirac''s argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, flux quantization and the Josephson effect in superconductors, the quantum Hall effect, solids and liquid crystals, and topological phase transitions. The accompanying reprints include some of the classic experimental and theoretical papers in this area.Physicists OCo both experimental and theoretical OCo who are interested in the topic will find this book an invaluable reference."
Topological Quantum Numbers In Nonrelativistic Physics
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Author : David J. Thouless
language : en
Publisher:
Release Date : 2000
Topological Quantum Numbers In Nonrelativistic Physics written by David J. Thouless and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical physics categories.
Current Topics In Physics Proceedings Of The Inauguration Conference Of The Asia Pacific Center For Theoretical Physics In 2 Volumes
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Author : Yongmin Cho
language : en
Publisher: World Scientific
Release Date : 1998-04-04
Current Topics In Physics Proceedings Of The Inauguration Conference Of The Asia Pacific Center For Theoretical Physics In 2 Volumes written by Yongmin Cho and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-04 with categories.
This volume is a collection of lectures on the current topics in various areas of physics which were presented at the Inauguration Conference of Asia-Pacific Center for Theoretical Physics.
Non Relativistic Quantum Theory Dynamics Symmetry And Geometry
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Author : Kai S Lam
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-08-24
Non Relativistic Quantum Theory Dynamics Symmetry And Geometry written by Kai S Lam and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-24 with Science categories.
This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.
Reshaping Of Dirac Cones In Topological Insulators And Graphene
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Author : Álvaro Díaz Fernández
language : en
Publisher: Springer Nature
Release Date : 2020-12-09
Reshaping Of Dirac Cones In Topological Insulators And Graphene written by Álvaro Díaz Fernández and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-09 with Science categories.
Dirac cones are ubiquitous to non-trivial quantum matter and are expected to boost and reshape the field of modern electronics. Particularly relevant examples where these cones arise are topological insulators and graphene. From a fundamental perspective, this thesis proposes schemes towards modifying basic properties of these cones in the aforementioned materials. The thesis begins with a brief historical introduction which is followed by an extensive chapter that endows the reader with the basic tools of symmetry and topology needed to understand the remaining text. The subsequent four chapters are devoted to the reshaping of Dirac cones by external fields and delta doping. At all times, the ideas discussed in the second chapter are always a guiding principle to understand the phenomena discussed in those four chapters. As a result, the thesis is cohesive and represents a major advance in our understanding of the physics of Dirac materials.
Recent Topics On Topology From Classical To Modern Applications
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Author : Paul Bracken
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-11-27
Recent Topics On Topology From Classical To Modern Applications written by Paul Bracken and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-27 with Mathematics categories.
Topology plays a fundamental role in many branches of mathematics and science. In recent years, there has been a resurgence of interest in physics, particularly in condensed matter physics. This book provides an accessible yet rigorous overview of current research in topology, making it an invaluable resource for mathematicians, physicists, and researchers in related fields.
Symmetry Broken Symmetry And Topology In Modern Physics
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Author : Mike Guidry
language : en
Publisher: Cambridge University Press
Release Date : 2022-03-31
Symmetry Broken Symmetry And Topology In Modern Physics written by Mike Guidry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-31 with Mathematics categories.
A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.
Topology And Geometry In Physics
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Author : Eike Bick
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-18
Topology And Geometry In Physics written by Eike Bick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-18 with Mathematics categories.
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, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.
Topology And Condensed Matter Physics
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Author : Somendra Mohan Bhattacharjee
language : en
Publisher: Springer
Release Date : 2017-12-20
Topology And Condensed Matter Physics written by Somendra Mohan Bhattacharjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-20 with Science categories.
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.
Advanced Topological Insulators
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Author : Huixia Luo
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-12
Advanced Topological Insulators written by Huixia Luo and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Technology & Engineering categories.
This book is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for researchers and graduate students preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with the fundamental description on the topological phases of matter such as one, two- and three-dimensional topological insulators, and methods and tools for topological material's investigations, topological insulators for advanced optoelectronic devices, topological superconductors, saturable absorber and in plasmonic devices. Advanced Topological Insulators provides researchers and graduate students with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.