Title: The Special Theory of Relativity as Applied to the Born-Oppenheimer-Huang Approach,
Abstract: In two recent publications ( Int. J. Quant. Chem. 114, 1645 (2014) and Molec.
Phys. 114, 227 (2016)) it was shown that the Born -Hwang (BH) treatment of a
molecular system perturbed by an external field yields a set of decoupled
vectorial Wave Equations, just like in Electromagnetism. This finding led us to
declare on the existence of a new type of Fields, which were termed Molecular
Fields. The fact that such fields exist implies that at the vicinity of conical
intersections exist a mechanism that transforms a passing-by electric beam into
a field which differs from the original electric field. This situation is
reminiscent of what is encountered in astronomy where Black Holes formed by
massive stars may affect the nature of a near-by beam of light. Thus if the
NonAdiabatic-Coupling-Terms (NACT) with their singular points may affect the
nature of such a beam (see the above two publications) then it would be
interesting to know to what extend NACTs (and consequently also the BH
equation) will be affected by the special theory of relativity as introduced by
Dirac. Indeed while applying the Dirac approach we derived the relativistic
affected NACTs as well as the corresponding BH equation.