BOSON-FERMION INTERACTIONS

E. A. Krasnopevtsev

Correlation of particles number in an equilibrium thermal state of quantum gas is caused mutual «interference repulsion» and antibunching at fermions and «interference attraction» and bunching at bosons.

Seiju Ami

Nguyen Van Hieu

The interaction between the bosonic excitations as well as between the fermionic ones in the RVB systems with the (extended) Hubbard Hamiltonian were studied by means of the slave boson technique and the perturbation theory. The corresponding effective Hamiltonians have been found. It was shown, in particular, that in the RVB system with two interpenetrating sublattices there exists the effective attraction between two holons of different kinds as well as between two spinions of different kinds in the singlet state.

B. Sørensen

Sergio A Albeverio, L. Dąbrowski, Shao-Ming Fei

The integrability of one-dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) δ-function interaction there is another singular point interactions which gives rise to a new one-parameter family of integrable quantum mechanical many-body systems. The bound states and scattering matrices are calculated for both bosonic and fermionic statistics.