This article reviews our work concerning the properties of orthogonal polynomials of a discrete variable and their use in quantum mechanical problems. By exploiting both their connection with coupling and recoupling coefficients of angular momentum theory and their asymptotic relationships with spherical and hyperspherical harmonics, a discretization procedure, the hyperquantization algorithm, has been developed and applied to the study of chemical reactivity.
Orthogonal polynomials of a discrete variable as expansion basis sets in quantum mechanics. The hyperquantization algorithm.
CAVALLI, Simonetta;AQUILANTI, Vincenzo
2003
Abstract
This article reviews our work concerning the properties of orthogonal polynomials of a discrete variable and their use in quantum mechanical problems. By exploiting both their connection with coupling and recoupling coefficients of angular momentum theory and their asymptotic relationships with spherical and hyperspherical harmonics, a discretization procedure, the hyperquantization algorithm, has been developed and applied to the study of chemical reactivity.File in questo prodotto:
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