Spin and charge correlations of the electrons in the dimer with degenerate orbitals and electron occupation n = 1,5

The spin-spin correlation functions in the dilatational and transverse components of the spin, the correlators of density of electrons, located on different orbitals in the Hubbard model in two limiting cases are calculated by the method of exact diagonalization; the Coulomb repulsion on the node point is comparable to the width of the band (U ≈ W) and significantly lower (U