Introduction to the Graphical Theory of Angular Momentum

Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.

Only book dealing with specific technique of dealing with coupling coefficients in the theory of angular momentum in advanced quantum theory The graphical technique of this book presents an elegant bypass to longwinded algebraic methods Many examples and results with a large number of diagrams documenting transformations and manipulations Control of the graphical method facilitates the derivation of new equalities and can be applied to complex problems in atomic physics Useful reference to researchers and graduate students Includes supplementary material: sn.pub/extras

Contenu
Properties of 3- and 3-Symbols.- Basic Tools for the Graphical Method.- Orthogonality Relations for 3-Symbols.- Properties of the 6-Symbol.- Properties of the 9-Symbol.- General Principles for Diagrams.- Closed Diagrams.- Open Diagrams.- Application in Atomic Physics.