An exciting new edition of a classic text
Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories.
This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics.
This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Define yo = B and yi = Bal ( 4.4 ) so that the Dirac equation now reads a + y ' ++ } v = my - at дх ! or iymanys = mys or iðy = my ( 4.5 ) where we have written y Pu = p = pl Yu for p any vector . Notes : ( a ) If pu = idu → ( p - my ...
This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.
Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text.
Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered.
He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study.
This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics.