Extension of a space-time formalism in relativistic quantum mechanics

Abstract

Recen t ly COLLINS and FA~C~I (~) in t roduced a new formula t ion in re la t iv is t ic quan tum mechanics for spin-zero particles. They modified the convent iona l t r ea tment , g iven by the Kle in-Gordon formal ism, in the sense tha t s ta te funct ions and operators were defined on a four-dimensional spacet ime manifold. The s tar t ing po in t was the es tabl ishment of a con t inu i ty equa t ion in Minkowski spacet ime