Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaudin models solver based on the Bethe ansatz/ordinary differential
  equations correspondence   We present a numerical approach which allows the solving of Bethe equations
whose solutions define the eigenstates of Gaudin models. By focusing on a new
set of variables, the canceling divergences which occur for certain values of
the coupling strength no longer appear explicitly. The problem is thus reduced
to a set of quadratic algebraic equations. The required inverse transformation
can then be realized using only linear operations and a standard polynomial
root finding algorithm. The method is applied to Richardson's fermionic pairing
model, the central spin model and generalized Dicke model.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th