Watson-Sommerfeld transformation

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Watson-Sommerfeld transformation [′wät·sən ′zȯm·ər‚felt i‚kwā·zhən]

(mathematics)

A procedure for transforming a series whoselth term is the product of thelth Legendre polynomial and a coefficient,a_l, having certain properties, into the sum of a contour integral ofa(l) and terms involving poles ofa(l), wherea(l) is a meromorphic function such thata(l) equalsa_lat integral values ofl; used in studying rainbows, propagation of radio waves around the earth, scattering from various potentials, and scattering of elementary particles. Also known as Sommerfeld-Watson transformation.

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