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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/111998
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