Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generalisations of Calogero-Moser-Sutherland quantum problem and WDVV
  equations   It is proved that if the Schr\"odinger equation $L \psi = \lambda \psi$ of
Calogero-Moser-Sutherland type with $$L = -\Delta + \sum\limits_{\alpha\in{\cal
A}_{+}} \frac{m_{\alpha}(m_{\alpha}+1) (\alpha,\alpha)}{\sin^{2}(\alpha,x)}$$
has a solution of the product form $\psi_0 = \prod_{\alpha \in {\cal {A}_+}}
\sin^{-m_{\alpha}}(\alpha,x),$ then the function $F(x) =\sum\limits_{\alpha \in
\cal {A}_{+}} m_{\alpha} (\alpha,x)^2 {\rm log} (\alpha,x)^2$ satisfies the
generalised WDVV equations.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom