Superconductivity in a system of electrons with 4-fermion tunneling Hamiltonian

In a model with intra-atomic interaction of electrons and interatomic correlated hopping of the electrons (model of Hubbard-Hirsch type), Bose condensation is obtained, and the temperature $T_c$ of the superconducting transition is calculated. Investigations are made of the limiting cases of the superconducting transition for noninteracting electrons with 4-fermion tunneling for different values of the hopping integrals and for the case of correlated electrons. It is shown that the general expression for the coupling constants obtained on the basis of the kinematic mechanism of high-temperature superconductivity is identical in the considered special cases to the expressions found earlier for the superconducting transition in the Hubbard and Hirsch models.