Group Theory and the Hydrogen Atom (II)

Abstract

A previous work dealing with bound states in a Coulomb potential is extended to the case of scattering states. The symmetry of the problem under the Lorentz group 0(1,3) is used to construct wave functions. Harmonic analysis on two-sheeted hyperboloids is briefly discussed in arbitrary dimension. The set of scattering states for both an attractive and a repulsive potential is shown to provide a unitary representation of the group 0(1, 4).