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A Computational Non-commutative Geometry Program for Disordered Topological Insulators, Emil Prodan


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Автор: Emil Prodan
Название:  A Computational Non-commutative Geometry Program for Disordered Topological Insulators
ISBN: 9783319550220
Издательство: Springer
Классификация:




ISBN-10: 3319550225
Обложка/Формат: Paperback
Страницы: 118
Вес: 0.19 кг.
Дата издания: 23.03.2017
Серия: SpringerBriefs in Mathematical Physics
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 20 tables, color; 19 illustrations, color; x, 118 p. 19 illus. in color.
Размер: 234 x 156 x 7
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Disordered Topological Insulators: A Brief Introduction.- Homogeneous Materials.- Homogeneous Disordered Crystals.- Classification of Homogenous Disordered Crystals.- Electron Dynamics: Concrete Physical Models.- Notations and Conventions.- Physical Models.- Disorder Regimes.- Topological Invariants.- The Non-Commutative Brillouin Torus.- Disorder Configurations and Associated Dynamical Systems.- The Algebra of Covariant Physical Observables.- Fourier Calculus.- Differential Calculus.- Smooth Sub-Algebra.- Sobolev Spaces.- Magnetic Derivations.- Physics Formulas.- The Auxiliary C*-Algebras.- Periodic Disorder Configurations.- The Periodic Approximating Algebra.- Finite-Volume Disorder Configurations.- The Finite-Volume Approximating Algebra.- Approximate Differential Calculus.- Bloch Algebras.- Canonical Finite-Volume Algorithm.- General Picture.- Explicit Computer Implementation.- Error Bounds for Smooth Correlations.- Assumptions.- First Round of Approximations.- Second Round of Approximations.- Overall Error Bounds.- Applications: Transport Coefficients at Finite Temperature.- The Non-Commutative Kubo Formula.- The Integer Quantum Hall Effect.- Chern Insulators.- Error Bounds for Non-Smooth Correlations.- The Aizenman-Molchanov Bound.- Assumptions.- Derivation of Error Bounds.- Applications II: Topological Invariants.- Class AIII in d = 1.- Class A in d = 2.- Class AIII in d = 3.- References.


Non-Associative and Non-Commutative Algebra and Operator Theory

Автор: Gueye
Название: Non-Associative and Non-Commutative Algebra and Operator Theory
ISBN: 3319329006 ISBN-13(EAN): 9783319329000
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almer?a and the University of M?laga. Dr.Kaidi's work focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.

Operator Theory in Harmonic and Non-commutative Analysis

Автор: Joseph A. Ball; Michael A. Dritschel; A.F.M. ter E
Название: Operator Theory in Harmonic and Non-commutative Analysis
ISBN: 3319062654 ISBN-13(EAN): 9783319062655
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Operator Theory in Harmonic and Non-commutative Analysis

Автор: Joseph A. Ball; Michael A. Dritschel; A.F.M. ter E
Название: Operator Theory in Harmonic and Non-commutative Analysis
ISBN: 3319377957 ISBN-13(EAN): 9783319377957
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results."

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Автор: Yuriy M. Bunkov; Henri Godfrin
Название: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions
ISBN: 0792362047 ISBN-13(EAN): 9780792362043
Издательство: Springer
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Цена: 30606.00 р.
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Описание: Topological defects formed at symmetry-breaking phase transitions play an important role in different fields of physics. This book begins with a "Condensed Matter: High Energy and Cosmology" dictionary, which gives a basis to ideas pertaining to these branches of modern physics. It also provides the concepts of symmetry-breaking phase transitions.

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Автор: Yuriy M. Bunkov; Henri Godfrin
Название: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions
ISBN: 0792362055 ISBN-13(EAN): 9780792362050
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Begins with a Condensed Matter - High Energy and Cosmology dictionary which gives a common basis to ideas pertaining to these branches of modern physics. This book contains papers providing the fundamental concepts of symmetry-breaking phase transitions. It features an exchange of ideas between particle physicists and condensed matter physicists.

Quantum and Non-Commutative Analysis

Автор: Huzihiro Araki; Keiichi R. Ito; Akitaka Kishimoto;
Название: Quantum and Non-Commutative Analysis
ISBN: 9048143349 ISBN-13(EAN): 9789048143344
Издательство: Springer
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Цена: 15672.00 р.
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Описание: In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc.

Piecewise Linear Structures On Topological Manifolds

Автор: Rudyak Yuli
Название: Piecewise Linear Structures On Topological Manifolds
ISBN: 9814733784 ISBN-13(EAN): 9789814733786
Издательство: World Scientific Publishing
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Цена: 12355.00 р.
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Описание: The study of triangulations of topological spaces has always been at the root of geometric topology.

Bulk and Boundary Invariants for Complex Topological Insulators

Автор: Emil Prodan; Hermann Schulz-Baldes
Название: Bulk and Boundary Invariants for Complex Topological Insulators
ISBN: 3319293508 ISBN-13(EAN): 9783319293509
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

Transport Studies of the Electrical, Magnetic and Thermoelectric properties of Topological Insulator Thin Films

Автор: Jinsong Zhang
Название: Transport Studies of the Electrical, Magnetic and Thermoelectric properties of Topological Insulator Thin Films
ISBN: 3662499258 ISBN-13(EAN): 9783662499252
Издательство: Springer
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Цена: 14365.00 р.
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Описание: This book presentsthe transport studies of topological insulator thin films grown by molecularbeam epitaxy. Through band structure engineering, the ideal topologicalinsulators, (Bi1ГЇВїВЅ xSbx)2Te3 ternary alloys, are successfully fabricated, whichpossess truly insulating bulk and tunable conducting surface states.

A Topological Introduction to Nonlinear Analysis

Автор: Brown Robert F.
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Издательство: Springer
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Цена: 6282.00 р.
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Описание: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." —MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.

Spectroscopy of Mott Insulators and Correlated Metals

Автор: Atsushi Fujimori; Yoshinori Tokura
Название: Spectroscopy of Mott Insulators and Correlated Metals
ISBN: 3642633714 ISBN-13(EAN): 9783642633713
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Extensive studies of high-Tc cuprate superconductors have stimualted investigations into various transition-metal oxides. Mott transitions in particular provide fascinating problems and new concepts in condensed matter physics. It deals with the latest developments, with particular emphasis on the theoretical, spectroscopic, and transport aspects.

A Topological Picturebook

Автор: Francis
Название: A Topological Picturebook
ISBN: 0387345426 ISBN-13(EAN): 9780387345420
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Praise for George Francis's A Topological Picturebook:Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means.- John Stillwell, University of San FranciscoThe Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think.- Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern ThoughtThe classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces.- John Sullivan, Technische Universitat BerlinA Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks.- Jeffrey Weeks, author of The Shape of SpaceA Topological Picturebook is a visual feast for anyone concerned with mathematical images.  Francis provides exquisite examples to build one's "visualization muscles".  At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings.- George W. Hart, Stony Brook UniversityIn this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable.- Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer


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