Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the eigenfunctions for the multi-species q-Boson system   In a previous paper a multi-species version of the q-Boson stochastic
particle system is introduced and the eigenfunctions of its backward generator
are constructed by using a representation of the Hecke algebra. In this article
we prove a formula which expresses the eigenfunctions by means of the
q-deformed bosonic operators, which are constructed from the L-operator of
higher rank found in the recent work by Garbali, de Gier and Wheeler. The
L-operator is obtained from the universal R-matrix of the quantum affine
algebra of type A_{r}^{(1)} by the use of the q-oscillator representation. Thus
our formula may be regarded as a bridge between two approaches to studying
integrable stochastic systems by means of the quantum affine algebra and the
affine Hecke algebra.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th