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This is extended version of a previously submitted paper, in which specialsolutions of the Hartree-Fock (HF) problem for Coulomb interacting electrons,being described by a simple model of the Cu-O planes in La2CuO4, are presented.One of the mean field states obtained, is able to predict some of the basicproperties of this material, such as its insulator character and theantiferromagnetic order. The natural appearance of pseudogaps in some states ofthis compound is also indicated by another of the HF states obtained. Thesesurprising results follow after eliminating spin and crystal symmetryrestrictions which are usually imposed on the single particle HF orbitals, bymeans of employing a rotational invariant formulation of the HF scheme whichwas originally introduced by Dirac. Therefore, it is exemplified how, up to nowbeing considered strong correlation effects, can be described by improving theHF solution of the physical systems. In other words, defining the correlationeffects as such ones shown by the physical system and which are not predictedby the best HF (lowest energy) solution, allows to explain currently assumed asstrong correlation properties, as simple mean field ones. The discussion alsohelps to clarify the role of the antiferromagnetism and pseudogaps in thephysics of the HTSC materials and indicates a promising way to startconciliating the Mott and Slater pictures for the description of the transitionmetal oxides and other strongly correlated electron systems.

A Hartree-Fock approach to La2CuO4 properties: hints for matching the Mott and Slater pictures