
TY  - JOUR
A1  - Cook, JL 
T1  - Solutions of the Relativistic Two-Body Problem. II. Quantum Mechanics
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1972
VL  - 25
IS  - 2
SP  - 141
EP  - 166
KW  - 
UR  - https://doi.org/10.1071/PH720141 
N2  - 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. 
ER  -

