Publisher's Synopsis
The foundation for the quantum theory of angular momentum,as an integral part of quantum mechanics, was laid in the1920's which whitnessed profound theoretical developments.For the atomic, molecular and nuclear physicist, the quantumtheory of angular momentum is an indispensable and essentialdiscipline. The discovery of new symmetries of theClebsch-Gordan and Racah coefficients, overlooked in thecourse of time, provided the impetus to congently presentthe intimate connection between angular-momentumcoefficients and the theory of generalized hypergeometricfunctions.Throughout this monograph, emphasis is placed on a goodexposition of any aspect of the theory in order to bereliablewith respect to notations, phase factors andnumerical factors. The monograph also provides completesolutions to some of the major problems of angular-momentumquantum theory. The topics selected cover: Connectionbetween angular-momentum coefficient, relation betweenangular-momentum coefficients and orthogonal polynomial,plynomial zeros of angular-momentum coefficients, numericalalgorithms for the generation of polynomial zeros and thecomputation of angular-momentum coefficients based on setsof generalized hypergeometric functions, andq-generalizations of angular-momentum coefficients.
