Topological Quantum Numbers in Nonrelativistic Physics PDF Download

Author: Thouless
Publisher: World Scientific
ISBN: 9812386297
Category : Mathematical physics
Languages : en
Pages : 440

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Book Description
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."

Author: David Thouless
Publisher: World Scientific
ISBN: 9814498033
Category : Science
Languages : en
Pages : 440

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Book Description
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 — both experimental and theoretical — who are interested in the topic will find this book an invaluable reference.

Author: D. J. Thouless
Publisher: World Scientific
ISBN: 9810229003
Category : Science
Languages : en
Pages : 440

View

Book Description
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 ? both experimental and theoretical ? who are interested in the topic will find this book an invaluable reference.

Author: Yongmin Cho
Publisher: World Scientific
ISBN: 9814545538
Category :
Languages : en
Pages : 1156

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Book Description
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.

Author: Kai S Lam
Publisher: World Scientific Publishing Company
ISBN: 9813107480
Category : Science
Languages : en
Pages : 458

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Book Description
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.

Author: Álvaro Díaz Fernández
Publisher: Springer Nature
ISBN: 3030615553
Category : Science
Languages : en
Pages : 183

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Book Description
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.

Author: Mike Guidry
Publisher: Cambridge University Press
ISBN: 1316518612
Category : Mathematics
Languages : en
Pages : 665

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Book Description
A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.

Author: Eike Bick
Publisher: Springer Science & Business Media
ISBN: 9783540231257
Category : Mathematics
Languages : en
Pages : 380

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Book Description
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.

Author: Richard M. Martin
Publisher: Cambridge University Press
ISBN: 1108429904
Category : Mathematics
Languages : en
Pages : 791

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Book Description
An authoritative text in condensed matter physics, unifying theory and methods to present electronic structure to students and researchers.

Author: Somendra Mohan Bhattacharjee
Publisher: Springer
ISBN: 9811068410
Category : Science
Languages : en
Pages : 519

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Book Description
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.