Group Theoretical Methods and Applications to Molecules and Crystals

Klappentext
From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.

Zusammenfassung
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. It 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.

Inhalt
Preface; List of symbols; 1. Linear transformations; 2. Theory of matrix transformations; 3. Elements of abstract group theory; 4. Unitary and orthogonal groups; 5. The point groups of finite order; 6. Theory of group representations; 7. Construction of symmetry adapted linear combinations based on the correspondence theorem; 8. Subduced and induced representations; 9. Elements of continuous groups; 10. The representations of the rotation group; 11. Single- and double-valued representations of point groups; 12. Projective representations; 13. 230 space groups; 14. The representations of space groups; 15. The unirreps of the space groups to energy bands and vibrational modes of crystals; 16. Time reversal, antiunitary point groups and their core presentations; 17. Antiunitary space groups and their core presentations; Appendix. Character tables for the crystal point groups; References.

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