Exact diagonalization of many-fermion Hamiltonian with wave-function renormalization

We propose a method of determining states for correlated fermions in Fock space, which we supplement with the Lagrange-Euler equation for the single-particle wave functions {w(i)(r)} contained in the microscopic parameters. The equation is derived by treating the ground state energy of the interacting system as a functional of {w(i)(r)}. The method is applied to a linear chain up to N = 10 atoms with all pair interactions and all hopping integrals included. Renormalized Wannier functions, the parameters, the distribution function, and the dimerization energy, are all discussed as a function of the lattice parameter.