An Introduction to Groups and their Matrices for Science Students
eBook - PDF

An Introduction to Groups and their Matrices for Science Students

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

An Introduction to Groups and their Matrices for Science Students

About this book

Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.

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Yes, you can access An Introduction to Groups and their Matrices for Science Students by Robert Kolenkow in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title Page
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Contents
  7. Preface
  8. 1 Fundamental Concepts
  9. 2 Matrix Representations of Discrete Groups
  10. 3 Molecular Vibrations
  11. 4 Crystalline Solids
  12. 5 Bohr's Quantum Theory and Matrix Mechanics
  13. 6 Wave Mechanics, Measurement, and Entanglement
  14. 7 Rotation
  15. 8 Quantum Angular Momentum
  16. 9 The Structure of Atoms
  17. 10 Particle Physics
  18. Appendix A Character Tables from Class Sums
  19. Appendix B Born–Jordan Proof of the Quantization Condition
  20. Appendix C Weyl Derivation of the Heisenberg Uncertainty Principle
  21. Appendix D EPR Thought Experiment
  22. Appendix E Photon Correlation Experiment
  23. Appendix F Tables of Some 3-j Coefficients
  24. Appendix G Proof of the Wigner–Eckart Theorem
  25. Index