Abstract

A quasiclassical approximation is used to calculate S(q,\ensuremath{\omega}) in the large-q limit for a one-dimensional gas of hard rods and for a three-dimensional hard-sphere gas. We find in both cases that S(q,\ensuremath{\omega}) does not approach the impulse approximation as q\ensuremath{\rightarrow}\ensuremath{\infty}. In this limit, the form of the spectral function agrees with that suggested by Hohenberg and Platzman, but the half-width of the resolution function due to final-state interactions is (\ensuremath{\Elzxh}q/2m)\ensuremath{\rho}\ensuremath{\sigma} rather than (\ensuremath{\Elzxh}q/m)\ensuremath{\rho}\ensuremath{\sigma}.

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