Exact diagonalization of many-fermion Hamiltonian with wave-function renormalization - art. no. 073101

We propose a method of determining states for correlated fermions in Fock s pace, which we supplement with the Lagrange-Euler equation for the single-p article wave functions {w(i)(r)} contained in the microscopic parameters. T he equation is derived by treating the ground state energy of the interacti ng system as a functional of {w(i)(r)}. The method is applied to a linear c hain up to N = 10 atoms with all pair interactions and all hopping integral s included. Renormalized Wannier functions, the parameters, the distributio n function, and the dimerization energy, are all discussed as a function of the lattice parameter.