Introducing time-dependent molecular fields: a new derivation of the wave equations

Abstract

This article is part of a series of articles trying to establish the concept Molecular Field. The theory that induced us to introduce this novel concept is based on the Born-Huang expansion as applied to the Schroedinger equation that describes the interaction of a molecular system with an external electric field. Assuming the molecular system is made up of two coupled adiabatic states the theory leads from a single spatial Curl Equation, two space-time Curl equations and one single space-time Divergent equation to a pair of decoupled Wave Equations usually encountered within the theory of fields. In the present study, just like in the previous one (see Baer, Mukherjee, Mukherjee and Adhikari, Molec. Phys., 114 , 227 (2016)) the Wave Equations are derived for an electric field having two features: (a) its intensity is high enough; (b) its duration is short enough. For this situation the study reveals that the just described interaction creates two fields that coexist within a molecule: one is a novel vectorial field formed via the interaction of the electric field with the Born-Huang non-adiabatic coupling terms (NACT) and the other is an ordinary, scalar, electric field essentially identical to the original electric field. immediately after) the Big Bang and consequently, guarantee among many other physical magnitudes the formation of molecular systems during that event.

Topological study of the H3++molecular system: H3++as a cornerstone for building molecules during the Big Bang

“…In the present talk we face a similar problem, viz., building molecular systems out of Protons and Electrons. However here the BOH approach supplies us with the means to build the required magnitudes the NACTs  as discussed recently (46) Thus the NACTs convey the force between nuclei that form the molecule. ee…”