Angular momentum techniques in quantum mechanics

Bibliographic Information

Angular momentum techniques in quantum mechanics

by V. Devanathan

(Fundamental theories of physics, 108)

Kluwer Academic Publishers, c2010

  • : pbk

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Note

Includes bibliographical references (p. 238-240) and index

Description and Table of Contents

Description

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.

Table of Contents

Preface. 1. Angular Momentum Operators and Their Matrix Elements. 2. Coupling of Two Angular Momenta. 3. Vectors and Tensors in Spherical Basis. 4. Rotation Matrices - I. 5. Rotation Matrices - II. 6. Tensor Operators and Reduced Matrix Elements. 7. Coupling of Three Angular Momenta. 8. Coupling of Four Angular Momenta. 9. Partial Waves and the Gradient Formula. 10. Identical Particles. 11. Density Matrix and Statistical Tensors. 12. Products of Angular Momentum Matrices and Their Traces. 13. The Helicity Formalism. 14. The Spin States of Dirac Particles. Appendices. References. Subject Index.

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Details

  • NCID
    BB1225055X
  • ISBN
    • 9789048152810
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Dordrecht
  • Pages/Volumes
    xiv, 242 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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