ON THE TWO-BODY PROBLEM IN QUANTUM MECHANICS

Following the representation of a two-body system in classical mechanics, we build up a quantum picture which is free of spurious effects and retains the intrinsic features of the internal bodies. In the coordinate space the system is represented by the real particles, individually bound to a center of forces which in a certain limit coincides with the center of mass and the wave function writes as product of the individual wave functions with correlated arguments. Key words: bound systems, center of mass states, constrained systems. 1. THE CENTER OF MASS PROBLEM The usual approaches to the two body problem in classical and quantum mechanics (see, for instance, [1, 2] pp. 306–308) start with the replacement of the particle position vectors 1 2r r, G G and momenta 1 2p p