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The Theory of Spinors

2012-04-30 Mathematics
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Release : 2012-04-30
Genre : Mathematics
Kind : eBook
Book Rating : 325/5 ( reviews)

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Book Synopsis The Theory of Spinors by : Élie Cartan

Download or read book The Theory of Spinors written by Élie Cartan. This book was released on 2012-04-30. Available in PDF, EPUB and Kindle. Book excerpt: Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.

Theory of Spinors and Its Application in Physics and Mechanics

2019-10-24 Science
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Release : 2019-10-24
Genre : Science
Kind : eBook
Book Rating : 360/5 ( reviews)

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Book Synopsis Theory of Spinors and Its Application in Physics and Mechanics by : Vladimir A. Zhelnorovich

Download or read book Theory of Spinors and Its Application in Physics and Mechanics written by Vladimir A. Zhelnorovich. This book was released on 2019-10-24. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spinors in Physics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 882/5 ( reviews)

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Book Synopsis Spinors in Physics by : Jean Hladik

Download or read book Spinors in Physics written by Jean Hladik. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles. Because of their relations to the rotation group SO(n) and the unitary group SU(n), this discussion will be of interest to applied mathematicians as well as physicists.

An Introduction to Twistor Theory

1994 Mathematics
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Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : 890/5 ( reviews)

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Book Synopsis An Introduction to Twistor Theory by : S. A. Huggett

Download or read book An Introduction to Twistor Theory written by S. A. Huggett. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

1984 Mathematics
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Release : 1984
Genre : Mathematics
Kind : eBook
Book Rating : 860/5 ( reviews)

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Book Synopsis Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry by : Roger Penrose

Download or read book Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry written by Roger Penrose. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: 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. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.

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