EQUATION FOR QUASIRADIAL FUNCTIONS IN THE MOMENTUM REPRESENTATION ON A 3-DIMENSIONAL SPHERE

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.