Abstract
electronic states. The first approximation is based on direct linearization (DL) of the forward -backward (FB) action in the exact path integral expression for this correlation function. The second approximation is based on linearizing the FB action in an equiValent quantum expression for this correlation function, which is given in terms of the Meyer-Miller mapping Hamiltonian (MML). The two approximations have several features in common, namely: (1) They are given in terms of an integral over a classical-like phase space; (2) The relevant operators are replaced by their Wigner transforms; (3) The dynamics is purely classical and
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