Si. Vinitskii et al., EQUATION FOR QUASIRADIAL FUNCTIONS IN THE MOMENTUM REPRESENTATION ON A 3-DIMENSIONAL SPHERE, Physics of atomic nuclei, 56(8), 1993, pp. 1027-1034
The radial Schrodinger equation in the discrete momentum representatio
n for centra potentials on a three-dimensional sphere is obtained in t
he form of a system of homogeneous algebraic equations. This system co
rresponds to the ordinary integral Schrodinger equation for the radial
wave functions in the momentum representation in the limit of a flat
space. The kernels of this equation are calculated explicitly for a cl
ass of potentials having a geometrical interpretation and encountered
in applications. A method of calculation of quasiradial solutions is p
roposed on the basis of the Chebyshev procedure of constructing a suit
able system of orthogonal polynomials in a discrete variable.