General response function for interacting quantum liquids

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Abstract
Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent meanfields and collisional contributions. The latter ones are derived and compared in relaxation time approximation conserving successively different balance equations. The effect of collisions is represented by correlation functions which are possible to calculate with the help of the finite temperature Lindhard RPA expression. The presented results are applicable for finite temperature response of interacting quantum systems if the quasiparticle or meanfield energy is parameterized within Skyrme - type of functionals including density, current and energy dependencies. We present results for collective modes as the plasmon in plasma systems and giant resonance in nuclei. The collisions lead in general to an enhanced damping of collective modes. If the collision frequency is close to the frequency of the collective mode, it occurs resonance and the collective mode is enhanced. This can be considered as collisional narrowing.

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