Abstract
A quantum nonlinear Schrodinger model with supermatrices and attractive coupling 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 constructed. In particular, theN-particle bound states with the mixture of bosons and fermions are found. The energy of theN-particle eigenstate are Σi=1N andNp2−N(N2−1)c2/12 for the scattering state and the bound state respectively.
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