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Theory of Spinors and Its Application in Physics and Mechanics, Zhelnorovich Vladimir A.


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Автор: Zhelnorovich Vladimir A.
Название:  Theory of Spinors and Its Application in Physics and Mechanics
ISBN: 9783030278359
Издательство: Springer
Классификация:



ISBN-10: 3030278352
Обложка/Формат: Hardcover
Страницы: 392
Вес: 0.75 кг.
Дата издания: 25.11.2019
Язык: English
Издание: 1st ed. 2019
Иллюстрации: Xvi, 392 p.
Размер: 234 x 156 x 24
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered.The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields.The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein–Dirac equations, nonlinear Heisenberg’s spinor equations, and equations for relativistic spin fluids are given.The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.
Дополнительное описание: Spinors in Finite-Dimensional Euclidean Spaces.- Spinor Fields in a Riemannian Space.- Spinors in the Four-Dimensional Pseudo-Euclidean Space.- Spinors in Three-Dimensional Euclidean Spaces.- Tensor Forms of Differential Spinor Equations.- Exact Solutions



Introduction to clifford algebras and spinors

Автор: Vaz, Jr., Jayme (professor Of Mathematical Physics, University Of Campinas, Brazil) Da Rocha, Jr., Roldao (associate Professor, Abc Federal University
Название: Introduction to clifford algebras and spinors
ISBN: 0198836287 ISBN-13(EAN): 9780198836285
Издательство: Oxford Academ
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Цена: 5146.00 р.
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Описание: This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.

Geometry of Quantum States

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 13779.00 р.
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

From Spinors To Quantum Mechanics

Автор: Coddens Gerrit
Название: From Spinors To Quantum Mechanics
ISBN: 1783266368 ISBN-13(EAN): 9781783266364
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: From Spinors to Quantum Mechanics discusses group theory and its use in quantum mechanics. Chapters 1 to 4 offer an introduction to group theory, and it provides the reader with an exact and clear intuition of what a spinor is, showing that spinors are just a mathematically complete notation for group elements.

Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions

Автор: Gillet Jean-michel
Название: Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions
ISBN: 1786348012 ISBN-13(EAN): 9781786348012
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
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Описание: Bridging the gap between traditional books on quantum and statistical physics, this series is an ideal introductory course for students who are looking for an alternative approach to the traditional academic treatment.This pedagogical approach relies heavily on scientific or technological applications from a wide range of fields. For every new concept introduced, an application is given to connect the theoretical results to a real-life situation. Each volume features in-text exercises and detailed solutions, with easy-to-understand applications.This third volume covers several basic and more advanced subjects about transitions in quantum and statistical physics. The first part describes how the quantum statistics of fermions and bosons differ but also under what condition they both can merge into the classical-particle-statistics framework seen in Volume 2. It is also the opportunity to describe the fundamentals of conductors, semi-conductors, superconductors, superfluids and Bose-Einstein condensates. The second part introduces time-dependent transitions between quantum states. The time evolution of a simple two-level model gives the minimum background in order to provide more details on the laser's principle and its numerous uses. The time-dependent perturbation theory is then presented. Typical applications such as standard approaches to the scattering of massive particles (mostly neutrons, which are an archetype) are discussed. A semi-classical treatment of the electromagnetic field-matter interaction is also described. Illustrations are taken from a variety of processes such as scattering from phonons, charge distribution or spin densities. The third and last part of the book gives a brief overview of quantum electrodynamics basics with applications to photon absorption or emission spectroscopies and a range of scattering regimes. There follows a short introduction to the role of multi-photon processes in quantum-entanglement based experiments.

Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions

Автор: Gillet Jean-michel
Название: Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions
ISBN: 1786347881 ISBN-13(EAN): 9781786347886
Издательство: World Scientific Publishing
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Цена: 14256.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Bridging the gap between traditional books on quantum and statistical physics, this series is an ideal introductory course for students who are looking for an alternative approach to the traditional academic treatment.This pedagogical approach relies heavily on scientific or technological applications from a wide range of fields. For every new concept introduced, an application is given to connect the theoretical results to a real-life situation. Each volume features in-text exercises and detailed solutions, with easy-to-understand applications.This third volume covers several basic and more advanced subjects about transitions in quantum and statistical physics. The first part describes how the quantum statistics of fermions and bosons differ but also under what condition they both can merge into the classical-particle-statistics framework seen in Volume 2. It is also the opportunity to describe the fundamentals of conductors, semi-conductors, superconductors, superfluids and Bose-Einstein condensates. The second part introduces time-dependent transitions between quantum states. The time evolution of a simple two-level model gives the minimum background in order to provide more details on the laser's principle and its numerous uses. The time-dependent perturbation theory is then presented. Typical applications such as standard approaches to the scattering of massive particles (mostly neutrons, which are an archetype) are discussed. A semi-classical treatment of the electromagnetic field-matter interaction is also described. Illustrations are taken from a variety of processes such as scattering from phonons, charge distribution or spin densities. The third and last part of the book gives a brief overview of quantum electrodynamics basics with applications to photon absorption or emission spectroscopies and a range of scattering regimes. There follows a short introduction to the role of multi-photon processes in quantum-entanglement based experiments.

Formulations of General Relativity: Gravity, Spinors and Differential Forms

Автор: Kirill Krasnov
Название: Formulations of General Relativity: Gravity, Spinors and Differential Forms
ISBN: 1108481647 ISBN-13(EAN): 9781108481649
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.

Spinors on Singular Spaces and the Topology of Causal Fermion Systems

Автор: Felix Finster, Niky Kamran
Название: Spinors on Singular Spaces and the Topology of Causal Fermion Systems
ISBN: 1470436213 ISBN-13(EAN): 9781470436216
Издательство: Mare Nostrum (Eurospan)
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Цена: 12474.00 р.
Наличие на складе: Нет в наличии.

Описание: Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analysed. The connection to the spin condition in differential topology is worked out.

Spinors in Hilbert Space

Автор: Paul Dirac
Название: Spinors in Hilbert Space
ISBN: 1475700369 ISBN-13(EAN): 9781475700367
Издательство: Springer
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Цена: 13060.00 р.
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Описание: Hilbert Space The words "Hilbert space" here will always denote what math- ematicians call a separable Hilbert space. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector.

3-D Spinors, Spin-Weighted Functions and their Applications

Автор: Gerardo F. Torres del Castillo
Название: 3-D Spinors, Spin-Weighted Functions and their Applications
ISBN: 1461264162 ISBN-13(EAN): 9781461264163
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. From the reviews:"Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments.

Real Spinorial Groups: A Short Mathematical Introduction

Автор: Xambo-Descamps Sebastia
Название: Real Spinorial Groups: A Short Mathematical Introduction
ISBN: 3030004031 ISBN-13(EAN): 9783030004033
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry.
After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index.
Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.
Spinors and Space Time Volume 2

Автор: Penrose, Roger Rindler, Wolfgang
Название: Spinors and Space Time Volume 2
ISBN: 0521347866 ISBN-13(EAN): 9780521347860
Издательство: Cambridge Academ
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Цена: 13306.00 р.
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Описание: In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.


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