Group Theoretical Methods and Applications to Molecules and Crystals [Paperback]

From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using a unique approach developed by the author. This approach includes working out symmetry groups and their representations, eliminating the undue abstract nature of group theoretical methods. The author has systematized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. He reconstructs space groups, unitary as well as antiunitary, based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.Preface; List of symbols; 1. Linear transformations; 2. Theory of matrix transformations; 3. Elements of abstract group theorlS’