
%0 Journal Article
%A Cook, JL 
%T Solutions of the Relativistic Two-Body Problem. II. Quantum Mechanics
%J Australian Journal of Physics
%D 1972/04/01
%V 25
%N 2
%P 141-166
%K 
%R https://doi.org/10.1071/PH720141
%U https://www.publish.csiro.au/paper/PH720141 
%X This paper discusses the formulation of a quantum mechanical equivalent of the relative time classical theory proposed in Part I. The relativistic wavefunction is derived and a covariant addition theorem is put forward which allows a covariant scattering theory to be established. The free particle eigenfunctions that are given are found not to be plane waves. A covariant partial wave analysis is also given. A means is described of converting wavefunctions that yield probability densities in 4-space to ones that yield the 3-space equivalents. Bound states are considered and covariant analogues of the Coulomb potential, harmonic oscillator potential, inverse cube law of force, square well potential, and two-body fermion interactions are discussed. 
