Superluminal Hydrogen Atom in a Constant Magnetic Field in (3+1)-dimensional Spacetime (II) | Chapter 2 | Theory and Applications of Chemistry Vol. 2
As
has usually been the case in the tradition of some scientific 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 field 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 field, with a continuum of linear momentum in
(3+1)-dimensional space time. Thereupon, we investigate a possible
“superluminality” of this field. It turns out that, as in the case of a free
Dirac field, the Dirac-hydrogen field 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.
Author(s) Details
Dr. Emmanuel D. K.
Gazoya
Department of National Nuclear
Research Institute (NNRI), Accelerator Research Center (ARC), P.O.Box LG 80,
Ghana Atomic Energy Commission (GAEC), Accra, Ghana.
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