Abstract
Simple expressions are derived for the time dependent correlation functions of certain phase functions of the classical linear (harmonic) chain having arbitrary masses and force constants. This is done for a statistical distribution τ ( H, P) in phase space depending arbitrarily on the energy H and the total momentum P, which then is specialized to the uniform distributions τ H , on the surface of constant energy, and τ H,P , in the intersection of surfaces of constant energy and total momentum. In a subsequent paper 2) the results will be used to draw conclusions on the ergodic properties of the phase functions.
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