*(English)*Zbl 0860.00016

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities of quantum mechanics. Beginning with the quantization of angular momentum (spin and orbit), the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. The theory of spherical tensors and tensor operators is developed, and then the vector-coupling coefficients (3-$j$, 6-$j$ and 9-$j$ coefficients) and their properties are investigated. The author provides practical applications to atomic, molecular and nuclear physics.

This book, published first in 1957 (see the review in Zbl 0079.42204), has always been and remains to be a standard source reference for those working in quantum theory of angular momentum and its applications in physics. Since its first publication, many other books on this subject have appeared and the mathematical theory has been further developed, see e.g. [*L. C. Biedenharn* and *J. D. Louck*, Angular momentum in quantum physics and The Racah-Wigner algebra in quantum theory, Encycl. Math. Appl. Vols. 8 and 9 (Addision-Wesley, 1981; Zbl 0474.00023 and Zbl 0474.00024)]. The present book introduces all the necessary concepts of quantum theory of angular momentum without much reference to mathematical structures such as group theory and representation theory. Therefore it will remain to be popular, especially to those with a physics background.