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Dynamic structure factor for classical motion in one-dimensional potentials.

The dynamical correlation functions are considered for classical particles moving in general one-dimensional unbounded potentials. In particular, the dynamic structure factor S(k,w) which predicts the intensity measured in a neutron-scattering experiment, is calculated in detail. According to the magnitude of the energy transfer, the analysis of S(k,w) is usually divided into three regions: inelastic, quasielastic, and elastic. New results are obtained for each region