New approach to the quantum mechanical stability, II: The stability properties of the Dirac equation with static potentials

The stability properties of the Dirac equation are analyzed in more details, now in terms of the quantum--mechanical controllability requirements formulated previously. The stability properties which have been established in this way agree satisfactorily with the stability data established elsewhere. The stability properties of a sequence of interrelated potentials have also been considered. The stability properties of the relevant quantum--chromodynamical quark--antiquark potential are analyzed in a similar manner, while establishing valuable constraints on the quark masses, as well as on the other parameters on the theory. Many other valuable manifestations of this stability approach have also been done