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.