Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian   We use the Whittaker vectors and the Drinfeld Casimir element to show that
eigenfunctions of the difference Toda Hamiltonian can be expressed via
fermionic formulas. Motivated by the combinatorics of the fermionic formulas we
use the representation theory of the quantum groups to prove a number of
identities for the coefficients of the eigenfunctions.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int