Group Theory and Its Applications
eBook - PDF

Group Theory and Its Applications

  1. 724 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Group Theory and Its Applications

About this book

Group Theory and Its Applications focuses on the applications of group theory in physics and chemistry. The selection first offers information on the algebras of lie groups and their representations and induced and subduced representations. Discussions focus on the functions of positive type and compact groups; orthogonality relations for square-integrable representations; group, topological, Borel, and quotient structures; and classification of semisimple lie algebras in terms of their root systems. The text then takes a look at the generalization of Euler's angles and projective representation of the Poincare group in a quaternionic Hilbert space. The manuscript ponders on group theory in atomic spectroscopy, group lattices and homomorphism, and group theory in solid state physics. Topics include band theory of solids, lattice vibrations in solids, stationary states in the quantum theory of matter, coupled tensors, and shell structure. The text then examines the group theory of harmonic oscillators and nuclear structure and de Sitter space and positive energy. The selection is a dependable reference for physicists and chemists interested in group theory and its applications.

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Yes, you can access Group Theory and Its Applications by Ernest M. Loebl in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9781483231884
eBook ISBN
9781483264011
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Group Theory and its Applications
  3. Copyright Page
  4. Table of Contents
  5. List of Contributors
  6. Preface
  7. Glossary of Symbols and Abbreviations
  8. Chapter 1. The Algebras of Lie Groups and Their Representations
  9. Chapter 2. Induced and Subdued Representations
  10. Chapter 3. On a Generalization of Euler's Angles
  11. Chapter 4. Projective Representation of the Poincare Group in a Quaternionic Hilbert Space
  12. Chapter 5. Group Theory in Atomic Spectroscopy
  13. Chapter 6. Group Lattices and Homomorphisms
  14. Chapter 7. Group Theory in Solid State Physics
  15. Chapter 8. Group Theory of Harmonic Oscillators and Nuclear Structure
  16. Chapter 9. Broken Symmetry
  17. Chapter 10. Broken SU (3) as a Particle Symmetry
  18. Chapter 11. De Sitter Space and Positive Energy
  19. Author Index
  20. Subject Index