Abstract
A new technique, based on the self-consistent projection-operator method due to Seke, is used for the derivation of a sequence of diagonalized effective Hamiltonians. As demonstrated in an example, the new technique is a powerful method for the calculation of quantum-mechanical eigenvalues and eigenstates. Unlike other methods, not only the problem of degenerate eigenvalues is treated adequately, but the constructed effective Hamiltonians open up the way for investigations of the dynamical behaviour of quantum systems as well.
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