Introduction to Group Theory with Applications
eBook - PDF

Introduction to Group Theory with Applications

Materials Science and Technology

  1. 446 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Group Theory with Applications

Materials Science and Technology

About this book

Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.

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Yes, you can access Introduction to Group Theory with Applications by Gerald Burns, Allen M. Alper,A. S. Nowick in PDF and/or ePUB format, as well as other popular books in Mathématiques & Algèbre. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780121457501
eBook ISBN
9781483191492
Topic
Mathématiques
Subtopic
Algèbre

Table of contents

  1. Front Cover
  2. Introduction to Group Theory with Applications
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE
  7. ACKNOWLEDGMENTS
  8. Chapter 1. SYMMETRY OPERATIONS
  9. Chapter 2. GROUP CONCEPTS
  10. Chapter 3. MATRIX REPRESENTATIONS OF FINITE GROUPS
  11. Chapter 4. CHARACTERS OF MATRIX REPRESENTATIONS OF FINITE GROUPS
  12. Chapter 5. VIBRATIONS OF MOLECULES AND CRYSTALS
  13. Chapter 6. NORMAL MODES (DIRECT PRODUCT AND SELECTION RULES)
  14. Chapter 7. QUANTUM MECHANICS
  15. Chapter 8. CRYSTAL FIELD THEORY (AND ATOMIC PHYSICS)
  16. Chapter 9. HYBRID FUNCTIONS
  17. Chapter 10. MOLECULAR ORBITAL THEORY
  18. Chapter 11. SYMMETRY OF CRYSTAL LATTICES
  19. Chapter 12. BAND THEORY OF SOLIDS
  20. Chapter 13. THE FULL ROTATION GROUP
  21. Appendix 1: CRYSTAL SYSTEMS
  22. Appendix 2: THE 32 POINT GROUPS
  23. Appendix 3: CHARACTER TABLES
  24. Appendix 4: SPACE GROUPS
  25. Appendix 5: MATRICES, VECTOR SPACES, AND LINEAR OPERATORS
  26. Appendix 6: DIRECT PRODUCT TABLES
  27. Appendix 7: CORRELATION TABLES
  28. Appendix 8: SPHERICAL HARMONICS
  29. Appendix 9: TANABE–SUGANO DIAGRAMS
  30. Appendix 10: DOUBLE GROUP CHARACTER TABLES
  31. BIBLIOGRAPHY
  32. INDEX