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Spinors in Physics : Graduate Texts in Contemporary Physics - Jean Hladik

Spinors in Physics

Graduate Texts in Contemporary Physics

By: Jean Hladik, J. M. Cole (Translator)

Hardcover Published: 11th June 1999
ISBN: 9780387986470
Number Of Pages: 226

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Spinors (the mathematical representation of particles in quantum mechanics) play a central role in quantum theory and have an important place in general relativity. This book uses Cartans mathematical and geometrical insights to illuminate the role of spinors in both physics and mathematics. It then uses the formalism of Lie groups to construct the irreducible representations of the rotations in three-dimensional space, including spinors. The book concludes with a discussion of spinors in four-dimensional space, which turn out to be useful in general relativity.

"...I think that the book can be very useful for a first course on the subject since it is well written, with many examples and a very good collection of solved problems."





--Mathematical Reviews





"...recommended as a pedagogically sound starting point for anyone wishing to understand what spinors are about, and why they are of importance to physicists."





--Zentralblatt MATH

Preface
Spinors in Three-Dimensional Spacep. 1
Two-Component Spinor Geometryp. 3
Spinors and SU (2) Group Representationsp. 35
Spinor Representation of SO(3)p. 67
Pauli Spinorsp. 99
Spinors in Four-Dimensional Spacep. 119
The Lorentz Groupp. 121
Representations of the Lorentz Groupsp. 135
Dirac Spinorsp. 157
Clifford and Lie Algebrasp. 171
Groups and Their Representationsp. 197
Referencesp. 221
Indexp. 223
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387986470
ISBN-10: 0387986472
Series: Graduate Texts in Contemporary Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 226
Published: 11th June 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 17.15  x 1.91
Weight (kg): 0.45