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Angular Momentum Techniques in Quantum Mechanics

  • Book
  • © 2002

Overview

Authors:
  1. V. Devanathan

    1. Department of Nuclear Physics, University of Madras, India
      Crystal Growth Centre, Anna University, Chennai, India

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 108)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Angular Momentum Operators and Their Matrix Elements

    Pages 1-9

  3. Coupling of Two Angular Momenta

    Pages 10-23

  4. Vectors and Tensors in Spherical Basis

    Pages 24-33

  5. Rotation Matrices - I

    Pages 34-41

  6. Rotation Matrices - II

    Pages 42-60

  7. Tensor Operators and Reduced Matrix Elements

    Pages 61-76

  8. Coupling of Three Angular Momenta

    Pages 77-87

  9. Coupling Of Four Angular Momenta

    Pages 88-99

  10. Partial Waves and the Gradient Formula

    Pages 100-118

  11. Identical Particles

    Pages 119-129

  12. Density Matrix and Statistical Tensors

    Pages 130-149

  13. Products of Angular Momentum Matrices and Their Traces

    Pages 150-164

  14. The Helicity Formalism

    Pages 165-198

  15. The Spin States of Dirac Particles

    Pages 199-215

  16. Back Matter

    Pages 216-242
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Keywords

About this book

A course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.

Authors and Affiliations

  • Department of Nuclear Physics, University of Madras, India

    V. Devanathan

  • Crystal Growth Centre, Anna University, Chennai, India

    V. Devanathan

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