Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introducing Time-dependent Molecular Fields: Derivation of the Wave
  Equations   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 the Wave Equations are derived for an external 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 external field with the Born-Huang non-adiabatic
coupling terms (NACT) and the other is an ordinary, scalar, electric field
essentially identical to the original external field. Part of the present study
is devoted to the visualization of the outcomes via two intersecting
Jahn-Teller cones which contain NACTs that become singular at their
intersection point, also known as the point of Conical Intersection. This
description is reminiscent of a metaphoric cosmic Black-Hole which swallows one
type of an electric field and creates a new type. Finally, the fact that
eventually we are facing a kind of a cosmic situation may bring us to speculate
that singular NACTs are a result of cosmic phenomena. Thus, if indeed this
singularity is somehow connected to reality then, like other singularities in
physics, it is formed at (or immediately after) the Big Bang (and because of
that, eventually the ability to form molecules).

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph