Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tavis-Cummings models and their quasi-exactly solvable Schr\"odinger
  Hamiltonians   We study in detail the relationship between the Tavis-Cummings Hamiltonian of
quantum optics and a family of quasi-exactly solvable Schr\"odinger equations.
The connection between them is stablished through the biconfluent Heun
equation. We found that each invariant $n$-dimensional subspace of
Tavis-Cummings Hamiltonian corresponds either to $n$ potentials, each with one
known solution, or to one potential with $n$-known solutions. Among these
Schr\"odinger potentials appear the quarkonium and the sextic oscillator.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th