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Quantum Mechanics

Symmetries

  • Textbook
  • © 1989

Overview

Authors:
  1. Walter Greiner

    1. Institut für Theoretische Physik, Universität Frankfurt, Frankfurt, Fed. Rep. of Germany

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  2. Berndt Müller
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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Symmetries in Quantum Mechanics

    • Walter Greiner, Berndt Müller
    Pages 1-35

  3. Angular Momentum Algebra Representation of Angular Momentum Operators — Generators of SO(3) —

    • Walter Greiner, Berndt Müller
    Pages 37-56

  4. Mathematical Supplement: Fundamental Properties of Lie Groups

    • Walter Greiner, Berndt Müller
    Pages 57-87

  5. Symmetry Groups and Their Physical Meaning — General Considerations

    • Walter Greiner, Berndt Müller
    Pages 89-93

  6. The Isospin Group (Isobaric Spin)

    • Walter Greiner, Berndt Müller
    Pages 95-123

  7. The Hypercharge

    • Walter Greiner, Berndt Müller
    Pages 125-129

  8. The SU(3) Symmetry

    • Walter Greiner, Berndt Müller
    Pages 131-154

  9. Quarks and SU(3)

    • Walter Greiner, Berndt Müller
    Pages 155-212

  10. Representations of the Permutation Group and Young Tableaux

    • Walter Greiner, Berndt Müller
    Pages 213-239

  11. Mathematical Excursion. Group Characters

    • Walter Greiner, Berndt Müller
    Pages 241-272

  12. Charm and SU(4)

    • Walter Greiner, Berndt Müller
    Pages 273-305

  13. Mathematical Supplement

    • Walter Greiner, Berndt Müller
    Pages 307-326

  14. Special Discrete Symmetries

    • Walter Greiner, Berndt Müller
    Pages 327-336

  15. Dynamical Symmetries

    • Walter Greiner, Berndt Müller
    Pages 337-350

  16. Mathematical Excursion: Non-compact Lie Groups

    • Walter Greiner, Berndt Müller
    Pages 351-361

  17. Back Matter

    Pages 363-368
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Keywords

About this book

"Quantum Dynamics" is a major survey of quantum theory based on Walter Greiner's long-running and highly successful courses at the University of Frankfurt. The key to understanding in quantum theory is to reinforce lecture attendance and textual study by working through plenty of representative and detailed examples. Firm belief in this principle led Greiner to develop his unique course and to transform it into a remarkable and comprehensive text. The text features a large number of examples and exercises involving many of the most advanced topics in quantum theory. These examples give practical and precise demonstrations of how to use the often subtle mathematics behind quantum theory. The text is divided into five volumes: Quantum Mechanics I - An Introduction, Quantum Mechanics II - Symmetries, Relativistic Quantum Mechanics, Quantum Electrodynamics, Gauge Theory of Weak Interactions. These five volumes take the reader from the fundamental postulates of quantum mechanics up to the latest research in particle physics. Volume 2 presents a particularly appealing and successful theme in advanced quantum mechanics - symmetries. After a brief introduction to symmetries in classical mechanics, the text turns to their relevance in quantum mechanics, the consequences of rotation symmetry and the general theory of Lie groups. The Isospin group, hypercharge, SU (3) and their applications are all dealt with in depth before a chapter on charm and SU (3) leads to the frontiers of research in particle physics. Almost a hundred detailed, worked examples and problems make this a truly unique text on a fascinating side of modern physics.

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Frankfurt, Frankfurt, Fed. Rep. of Germany

    Walter Greiner

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