A quantum nonlinear Schr?dinger model with the most general supermatrices, having structure (n-k,k)(m-l,l), is studied by using the quantum inverse scattering method. The eigenstates of the Hamiltonian and the infinite number of the conserved quantities of the system are discussed, In particular, the N-particle bound states with the mixture of bosons and fermions are found. The energy of the N-particle eigenstate are ∑j=1Nλj2 and Np2-(c2/12)N(N2-1) for the scattering stateand the bound state respectively.
下载: