An Introduction to Groups and their Matrices for Science Students

Erscheinungsjahr 2022
ISBN: 978-1-108-83108-6
Verlag: Cambridge University Press

Buch, Englisch, 360 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 832 g

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.

Autoren/Hrsg.

Kolenkow, Robert

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra
• Naturwissenschaften Physik Physik Allgemein

Inhaltsverzeichnis

1. Fundamental concepts; 2. Matrix representations of discrete groups; 3. Molecular vibrations; 4. Crystalline solids; 5. Bohr's quantum theory and matrix mechanics; 6. Wave mechanics, measurement, and entanglement; 7. Rotation; 8. Quantum angular momentum; 9. The structure of atoms; 10. Particle physics. Appendices.

Über Autor(innen)

Kolenkow, Robert
Robert Kolenkow was formerly Associate Professor of Physics at Massachusetts Institute of Technology and was awarded the Everett Moore Baker Award for Outstanding Teaching. He was the lead author of the Physical Geography Today series of texts and coauthor, with Daniel Kleppner, of An Introduction to Mechanics (also published by Cambridge University Press).