Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of the continuous transition from atomic to molecular
  shape in the three-body Coulomb system   We present an alternative, univocal characterization of the continuous
transition from atomic to molecular shape in the Coulomb system constituted by
two identical particles and a third particle with the opposite charge, as the
mass ratio of the particles varies. Applying a marginal-conditional exact
factorization to a variationally optimized wavefunction, we construct a
nonadiabatic potential energy surface for the relative motion between the
single particle and each of the identical particles in the ground state. The
transition is revealed through the evolution with the mass ratio of the
topography of such surface and of the shapes of the associated marginal and
conditional distributions. Our approach unifies and extends to the nonadiabatic
regime the Born-Oppenheimer and charge-distribution pictures of molecular
shape.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
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
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th