Group Theory
eBook - PDF

Group Theory

And Its Application to the Quantum Mechanics of Atomic Spectra

  1. 385 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Group Theory

And Its Application to the Quantum Mechanics of Atomic Spectra

About this book

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.

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Information

Publisher
Academic Press
Year
2013
Print ISBN
9781483227535
eBook ISBN
9781483275765
Topic
Scienze fisiche
Subtopic
Fisica computazionale e matematica

Table of contents

  1. Front Cover
  2. Group Theory: And its Application to the Quantum Mechanics of Atomic Spectra
  3. Copyright Page
  4. Table of Contents
  5. Author's Preface
  6. Translator's Preface
  7. Chapter 1. Vectors and Matrices
  8. Chapter 2. Generalizations
  9. Chapter 3. The Principal Axis Transformation
  10. Chapter 4. The Elements of Quantum Mechanics
  11. Chapter 5. Perturbation Theory
  12. Chapter 6. Transformation Theory and the Bases for the Statistical Interpretation of Quantum Mechanics
  13. Chapter 7. Abstract Group Theory
  14. Chapter 8. Invariant Subgroups
  15. Chapter 9. The General Theory of Representations
  16. Chapter 10. Continuous Groups
  17. Chapter 11. Representations and Eigenfunctions
  18. Chapter 12. The Algebra of Representation Theory
  19. Chapter 13. The Symmetric Group
  20. Chapter 14. The Rotation Groups
  21. Chapter 15. The Three-Dimensional Pure Rotation Group
  22. Chapter 16. The Representations of the Direct Product
  23. Chapter 17. The Characteristics of Atomic Spectra
  24. Chapter 18. Selection Rules and the Splitting of Spectral Lines
  25. Chapter 19. Partial Determination of Eigenfunctions from Their Transformation Properties
  26. Chapter 20. Electron Spin
  27. Chapter 21. The Total Angular Momentum Quantum Number
  28. Chapter 22. The Fine Structure of Spectral Lines
  29. Chapter 23. Selection and Intensity Rules with Spin
  30. Chapter 24. Racah Coefficients
  31. Chapter 25. The Building-Up Principle
  32. Chapter 26. Time Inversion
  33. Chapter 27. Physical Interpretation and Classical Limits of Representation Coefficients, Three- and Six-j Symbols
  34. Appendix A.1 Conventions
  35. Appendix B. Summary of Formulas
  36. SUBJECT INDEX

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Yes, you can access Group Theory by Eugene P. Wigner, H. S. W. Massey in PDF and/or ePUB format, as well as other popular books in Scienze fisiche & Fisica computazionale e matematica. We have over 1.5 million books available in our catalogue for you to explore.