Geodesic
Ring-Shaped Functions and Wigner $6j$-Symbols
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 2, pp. 299-310 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain an explicit expression for the ring-shaped matrix relating the ring-shaped functions corresponding to different values of an axiality parameter and find the relation between this matrix and the Wigner $6j$-symbols. We investigate the motion of a quantum particle in a ring-shaped model with a zero “bare” potential and find bases factored in spherical and cylindrical coordinates for this model. We derive a formula generalizing the Rayleigh expansion for a plane wave in terms of spherical waves in a ring-shaped model.
Keywords: ring-shaped potential, ring-shaped functions, interbasis expansions, Wigner $6j$-symbols, Rayleigh expansion. 
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L. G. Mardoyan. Ring-Shaped Functions and Wigner $6j$-Symbols. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 2, pp. 299-310. http://geodesic.mathdoc.fr/item/TMF_2006_146_2_a5/

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