Abstract
A complete set of eigenfunctions of the exchange operator for the (quasiparticle) scattering on the Fermi sphere is developed. The functions are simultaneously bipolynomials in the Landau variables (q/pF)2 and cos ΘL and in the Abrikosov-Khalatnikov variables cos Θ and cos Φ of the same degree. A parametrization of the quasiparticle scattering amplitude with the aid of these functions includes thes, sp, and effective potential approximations as special cases but is completely general.
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