  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.
