Group Theory In Physics: A Practitioner's Guide
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A01=Michel Rausch De Traubenberg
A01=R Campoamor Strursberg
A01=Rutwig Campoamor Strursberg
Author_Michel Rausch De Traubenberg
Author_R Campoamor Strursberg
Author_Rutwig Campoamor Strursberg
Category=PHU
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Lie Algebras
Orthonormal States
Realizations
Representations
Spacetime Symmetries
Product details
- ISBN 9789813273603
- Publication Date: 20 Nov 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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"The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance."zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
