Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving a two-electron quantum dot model in terms of polynomial
  solutions of a Biconfluent Heun Equation   The effects on the non-relativistic dynamics of a system compound by two
electrons interacting by a Coulomb potential and with an external harmonic
oscillator potential, confined to move in a two dimensional Euclidean space,
are investigated. In particular, it is shown that it is possible to determine
exactly and in a closed form a finite portion of the energy spectrum and the
associated eigeinfunctions for the Schr\"odinger equation describing the
relative motion of the electrons, by putting it into the form of a biconfluent
Heun equation. In the same framework, another set of solutions of this type can
be straightforwardly obtained for the case when the two electrons are submitted
also to an external constant magnetic field.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con