Abstract
A systematic nonperturbative scheme is implemented to calculate the ground state energy for a wide class of strongly correlated fermion models. The scheme includes: (a) a method of automatic calculations of the cumulants of the model Hamiltonian, (b) a method of the ground state energy calculation from these cumulants using the t-expansion proposed by Horn and Weinstein (1984) [9] with new procedure of its extrapolation to t→∞. As an example of application of the scheme all cumulants up to the 8-th order for spinless fermion model are calculated exactly, and converging sequences of approximations to the ground state energy are obtained for one-, two- and three-dimensional versions of the model.
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