Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electronic Non-adiabatic Dynamics in Enhanced Ionization of
  Isotopologues of H$_2^+$ from the Exact Factorization Perspective   It was recently shown that the exact potential driving the electron's
dynamics in enhanced ionization of H$_2^+$ can have large contributions arising
from dynamical electron-nuclear correlation, going beyond what any
electrostatics-based model can provide[1]. This potential is defined via the
exact factorization of the molecular wavefunction that allows the construction
of a Schr\"odinger equation for the electronic system, in which the potential
contains exactly the effect of coupling to the nuclear system and any external
fields. Here we study enhanced ionization in isotopologues of H$_2^+$ in order
to investigate nuclear-mass-dependence of these terms for this process. We
decompose the exact potential into components that naturally arise from the
conditional wavefunction, and also into components arising from the marginal
electronic wavefunction, and compare the performance of propagation on these
different components as well as approximate potentials based on the
quasi-static or Hartree approximation with the exact propagation. A
quasiclassical analysis is presented to help analyse the structure of different
non-electrostatic components to the potential driving the ionizing electron.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc