Theory of Spinors and Its Application in Physics and Mechanics

Authors: Zhelnorovich, Vladimir A.

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  • A pragmatic handbook on the most important spinor equations of field theory and quantum mechanics 
  • Covers the Einstein–Dirac equations, nonlinear Heisenberg's equations, and equations for relativistic spin fluids
  • An accessible introduction to Cartan, which could become very important again in modern cosmology
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eBook $84.99
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  • ISBN 978-3-030-27836-6
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Hardcover $149.99
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About this book

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.


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-030-27836-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-27835-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory of Spinors and Its Application in Physics and Mechanics
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-27836-6
DOI
10.1007/978-3-030-27836-6
Hardcover ISBN
978-3-030-27835-9
Edition Number
1
Number of Pages
XVI, 392
Additional Information
This book is a revised and updated version of the original Russian edition “Theory of Spinors and its Application in Physics and Mechanics” published by Izdatel'stvo Nauka, Moscow, Russia, 1982
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