On Dirac's New Relativistic Quantum Mechanics

Abstract

Following the Dirac's new theory, we treat the problem of two particle in three dimensions. It is assumed that the field is deseribed by the vector potential, but the scalar potential is absent. The probability amplitude can he expanded in a form of a power series in 1/c. The Darwin's interaction term e₁e₂/2m₁m₂c²{(p(1)p(2))/γ+(p(1)γ)(p(2)γ)/γ³is obtained, but the Coulomb's term is not obtained