Theory of spinors : an introduction
著者
書誌事項
Theory of spinors : an introduction
World Scientific, 2000
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
ISBN 9789810242619
内容説明
Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors - results that could not have been obtained by using tensor methods only.The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.
目次
- Introduction to group theory
- representation theory
- the Lorentz and SL(2,C) groups
- two-components spinors
- Maxwell, Dirac and Pauli spinors
- the gravitational field spinors
- the gauge field spinors
- the Euclidean gauge field spinors.
- 巻冊次
-
: pbk ISBN 9789812564726
内容説明
Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors - results that could not have been obtained by using tensor methods only.The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.
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