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High-level text applies group theory to physics problems, develops methods for solving molecular vibration problems and for determining the form of crystal tensors, develops translational properties of crystals, more. 1974 edition.
Divided into two parts, the first half of this text covers all of the topics required for a complete understanding of the applications of group theory to solid state physics. It shows how symmetry arguments can be used to give detailed insight into the physical properties of crystals closely linked with structure.The second half of the book distinguishes it from other books on this subject by its treatment of symmetry properties of magnetic crystals at a level suitable for graduate students new to the field.
Pt. I. Elements of group theory. Tabular list of definitions -- pt. II. Symmetry in quantum mechanical systems. Examples of symmetry in quantum mechanical systems -- Matrix representation theory for finite groups -- Application to quantum mechanics -- Some results of the theory of continuous groups -- "Double" groups -- Permutation symmetry of many-particle wave functions -- The role of group theory in the coupling of states -- pt. III. Point symmetry and its consequences. Point groups -- Term splitting in crystal fields -- Additional methods in crystal field theory -- pt. IV. Translational symmetry of solids. Bravais lattices and Born-Von Karman boundary conditions -- Representations of cyclic groups -- Solid state "particles" -- Qualitative discussion of space groups -- pt. V. Special topics. Time reversal -- Jahn-Teller effect.
Everyone knows that symmetry is fundamentally important in physics. On one hand, the symmetry of a system is often the starting point for general physical considerations, and on the other hand, particular problems may be solved in simpler and more elegant ways if symmetry is taken into account. This book presents the underlying theories of symmetry and gives examples of their application in branches of physics ranging from solid-state to high-energy physics via atomic and molecular physics. The text is as self-contained as possible, with as much mathematical formalism given as required. The main emphasis is on the theory of group representations and on the method of projection operators, this is a very powerful tool which is often treated only very briefly. Discrete symmetries, continuous symmetries and symmetry breaking are also discussed, and exercises are provided to stimulate the reader to carry out original work.
DIVThorough, modern study of solid state physics; solid types and symmetry, electron states, electronic properties and cooperative phenomena. /div