The Application of Group Theory in Physics

G.Ya. Lyubarskii

• Publisher: Pergamon
• Year: 2013
• Print ISBN:
  9781483200958
• eBook ISBN:
  9781483225982
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

The Application of Group Theory in Physics is a 17-chapter text based on a course of lectures concerning the principles, concepts, and application of group theory in physics, given at the Gorki University in Kharkov. This text presents first the parts of the theory of representations of finite and continuous groups that are most important in application. Considerable chapters cover the groups of theory of interest in theoretical physics and demonstrate the principles according to which the abstract concepts and the theorems of representation theory are applied in theoretical physics. The remaining chapters provide representations of the rotation group and the Lorentz group. The closing part of this work contains tables of the detailed description of the 230 space groups and for the characters of certain groups. This book is intended primarily for physicists specializing in theoretical physics

Table of contents

• Front Cover
• The Application of Group Theory in Physics
• Copyright Page
• Table of Contents
• PREFACE
• CHAPTER I. Elements of the Theory of Groups
• Chapter II. Some Specific Groups
• Chapter III. The Theory of Group Representations
• Chapter IV. Operations with Group Representations
• Chapter V. Representations of Certain Groups
• Chapter VI. Small Oscillations of Symmetrical Systems
• Chapter VII. Second Order Phase Transitions
• Chapter VIII. Crystals
• Chapter IX. Infinite Groups
• Chapter X. Representations of the Rotation Groups in Two and Three Dimensions and of 'the Full Orthogonal Group.
• Chapter XI. Clebsch-Gordan and Racah Coefficients
• Chapter XII. The Schrödinger Equation
• Chapter XIII. Equations Invariant under the Euclidean Group of Motions in Space
• Chapter XIV. Absorption and Raman Scattering of Light
• Chapter XV. Representations of the Lorentz Group
• Chapter XVI. Relativistically Invariant Equations
• Chapter XVII. Nuclear Reactions
• APPENDICES I: Characters of Irreducible Representations of the Permutation Groups S4,S5,S6,S7
• Bibliography
• Subject Index