  We consider an eigenvalue problem for a discrete analogue of the Hamiltonian
of the non-ideal Bose gas with delta-potentials on a circle. It is a
two-parameter deformation of the discrete Hamiltonian for joint moments of the
partition function of the O'Connell-Yor semi-discrete polymer. We construct the
propagation operator by using integral-reflection operators, which give a
representation of the affine Hecke algebra. We also construct eigenfunctions by
means of the Bethe ansatz method.
