Group Theory In Physics A Practitioner's Guide

Рейтинг:
ISBN(EAN) 9789813273603
Издатель World Scientific Publishing
(сайт издательства)
Язык Английский
Формат Твердый переплет
Страницы 760
Год издания 2018
Страна происхождения Соединенное Королевство
Рейтинг 4.2
Вес (грамм) 1174
Размер (мм) 228(д) х 152(ш) х 39(в)
 

This 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.
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