Ebook: Symmetries in Physics: Group Theory Applied to Physical Problems

Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.

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Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.

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Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.
Content:
Front Matter....Pages I-XIII
Introduction....Pages 1-3
Elements of the Theory of Finite Groups....Pages 4-17
Discrete Symmetry Groups....Pages 18-46
Representations of Finite Groups....Pages 47-86
Irreducible Representations of Special Groups....Pages 87-125
Tensor Operators and Expectation Values....Pages 126-138
Molecular Spectra....Pages 139-182
Selection Rules and Matrix Elements....Pages 183-202
Representations of Space Groups....Pages 203-229
Excitation Spectra and Selection Rules in Crystals....Pages 230-265
Lie Groups and Lie Algebras....Pages 266-310
Representations by Young Diagrams. The Method of Irreducible Tensors....Pages 311-317
Applications of the Theory of Continuous Groups....Pages 318-349
Internal Symmetries and Gauge Theories....Pages 350-405
Appendices....Pages 406-455
Back Matter....Pages 457-476

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Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.
Content:
Front Matter....Pages I-XIII
Introduction....Pages 1-3
Elements of the Theory of Finite Groups....Pages 4-17
Discrete Symmetry Groups....Pages 18-46
Representations of Finite Groups....Pages 47-86
Irreducible Representations of Special Groups....Pages 87-125
Tensor Operators and Expectation Values....Pages 126-138
Molecular Spectra....Pages 139-182
Selection Rules and Matrix Elements....Pages 183-202
Representations of Space Groups....Pages 203-229
Excitation Spectra and Selection Rules in Crystals....Pages 230-265
Lie Groups and Lie Algebras....Pages 266-310
Representations by Young Diagrams. The Method of Irreducible Tensors....Pages 311-317
Applications of the Theory of Continuous Groups....Pages 318-349
Internal Symmetries and Gauge Theories....Pages 350-405
Appendices....Pages 406-455
Back Matter....Pages 457-476
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