Bound states of supercritical atoms and the generalized quantum dynamics

Abstract

The problem of supercritical bound states of superheavy atoms are investigated within the formalism of the generalized quantum dynamics (GQD)developed in [J. Phys. A: Math. Gen. 32, pp. 5657-5677, 1999]. We study the diving of one bound state into the lower continuum. It is shown that the formalism of the GQD provides a new insight into the problem of supercritical bound states diving into continuum and the structure of vacuum in the field of an superheavy nucleus.