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A new model with a new Hamiltonian is offered as the means for studyingproperties of a system of strongly correlated electrons. Consideration of thesimplest possible situation, namely a system on non-interacting electrons in atwo-leg ladder, leads to an expression for the excitation energy spectrum withno energy gap at the half-filling and with an energy gap away from the halffilling.

The excitation energy spectrum for a system with electron pairs tunneling in a two-leg ladder has a doping depended gap