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

Abstract

As has usually been the case in the tradition of some scienti?c novel ideas, we use the hydrogen atom as a test particle, in the context of superluminal dynamical system theory. In Paper (I) of this series, the fundamental effect of an applied external magnetic ?eld on a transversely guided beam of hydrogen-like atoms is uncovered, that of transformation from spherical wave expansion into plane wave function. This leads to an unprecedented concept of a planar helical hydrogen ?eld, with a continuum of linear momentum in (3+1)-dimensional spacetime. Thereupon, we investigate a possible superluminality of this ?eld. It turns out that, as in the case of a free Dirac ?eld, the Dirac-hydrogen ?eld accords with the law of conservation of energy and momentum. As a result, the generalized translational velocity component expectation value of the planar Dirac-hydrogen is found to exceed the speed of light, with however, a subluminal minimal velocity.