The interparticle interaction and noncommutativity of conjugate operators in quantum mechanics. $H$-like atoms

Abstract

A quantum mechanical model for the systems consisting of interacting bodies is considered. The model takes into account the noncommutativity of the space and impulse operators and the correlation equations for the indeterminacy of these quantities. The noncommutativity of the operators is here a result of the action of the interparticle forces and represents a natural generalization of the conventional commutation relation for the space and impulse operators for a single particle. The efficiency of the model is demonstrated by specific calculations concerning several well-known atomic systems.