Group Theory in Physics
World Scientific, 1985 - 344 pages
An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.
Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.
Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.
A set of problems and solutions has been published in a separate booklet.
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BASIC GROUP THEORY
GENERAL PROPERTIES OF IRREDUCIBLE
REPRESENTATIONS OF THE SYMMETRIC
ONEDIMENSIONAL CONTINUOUS GROUPS
ROTATIONS IN THREEDIMENSIONAL
THE GROUP SU2 AND MORE ABOUT SO3
EUCLIDEAN GROUPS IN TWO
TIME REVERSAL INVARIANCE
NOTATIONS AND SYMBOLS
GROUP ALGEBRA AND THE REDUCTION
SUPPLEMENTS TO THE THEORY
ROTATIONAL AND LORENTZ SPINORS
UNITARY REPRESENTATIONS OF
THE LORENTZ AND POINCARE GROUPS
SPACE INVERSION INVARIANCE
Autres éditions - Tout afficher
Geometrie und Symmetrie in der Physik: Leitmotiv der Mathematischen Physik
Aucun aperçu disponible - 1995