Abstract
A matrix technique for calculating the probabilities of many-photon transitions in the framework of the full configuration interaction which corresponds to an exact solution of the finite-dimensional Schrodinger equation is suggested. The method is applied to π-electron shells of a number of typical conjugate molecules (polyenes, benzene, naphthalene, and indacene). In the case of one-photon excitations, π-electron correlation decreases the intensities of the lowest transitions by no more than an order of magnitude. For two-photon transitions, the standard Hartree-Fock scheme exaggerates the probabilities by two or three orders of magnitude, and only a transition to spin-polarized versions (unrestricted and extended Hartree-Fock methods) significantly improves the results. Therefore, a correct description of many-photon transitions requires taking account of many-particle effects.
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