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."
"...recommended as a pedagogically sound starting point for anyone wishing to understand what spinors are about, and why they are of importance to physicists."
|Spinors in Three-Dimensional Space||p. 1|
|Two-Component Spinor Geometry||p. 3|
|Spinors and SU (2) Group Representations||p. 35|
|Spinor Representation of SO(3)||p. 67|
|Pauli Spinors||p. 99|
|Spinors in Four-Dimensional Space||p. 119|
|The Lorentz Group||p. 121|
|Representations of the Lorentz Groups||p. 135|
|Dirac Spinors||p. 157|
|Clifford and Lie Algebras||p. 171|
|Groups and Their Representations||p. 197|
|Table of Contents provided by Blackwell. All Rights Reserved.|
Series: Graduate Texts in Contemporary Physics
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
Weight (kg): 0.45