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INTROIDUCTION Our current understanding of molecular dynamics uses quantum mechanics as the basic underlying theory to elucidate thc processes involved. Establishing numerical schemes to solve the quantum equations of motion is crucial for understanding realistic molecular encounters. The introduction of pseudo-spectral methods has been an important step in this direction. These methods allow an extremely accurate representation of the action of an operator, usually the Hamiltonian, on adoi:10.1146/annurev.physchem.45.1.145 fatcat:itb7otvv4vhbjpmzd2a5746qny