Superluminal Hydrogen Atom in a Constant Magnetic Field in (3+1)-dimensional Spacetime (I)

In this paper, we have checked Stern-Gerlach experiment with the aim to study generic effect of an applied magnetic field onto transversely directed beam of hydrogen-like atoms. The ultrarelativistic phenomenon of spin of a Dirac particle (especially, electron spin) producing a continuum of linear angular momentum with the known result of superluminal propagation, suggests the feasibility of similar dynamics for a charged hydrogen-like particle under applied magnetic field, in spacetime. Another mechanism, very important but popularly less comprehensible, which sustains this linear momentum is known to be helical plane wave expansion. Hydrogen-like spherical waves cannot perform this function due to the perturbation caused by the successive random orientations of their atomic magnetic moment. It is therefore of vital import to investigate experimentally, as well as analytically, the possibility of transformation from hydrogen-like spherical wave expansion to its probable plane wave function, if we would extend our special subatomic theory of superluminal particles to the atomic (hydrogen-like) level.