The relationship is investigated between Hahn coefficients, i.e,, normalized Hahn polynomials of a discrete variable, and generalized 3j coefficients. Their role is outlined as matrix elements for the overlap of alternative hyperspherical harmonics (timber coefficients). The semiclassical limit is also investigated, with reference to their use as discrete analogs of hyperspherical harmonics.
Angular and hyperangular momentum coupling coefficients as Hahn polynomials
AQUILANTI, Vincenzo;CAVALLI, Simonetta;
1995
Abstract
The relationship is investigated between Hahn coefficients, i.e,, normalized Hahn polynomials of a discrete variable, and generalized 3j coefficients. Their role is outlined as matrix elements for the overlap of alternative hyperspherical harmonics (timber coefficients). The semiclassical limit is also investigated, with reference to their use as discrete analogs of hyperspherical harmonics.File in questo prodotto:
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