Abstract
A fully microscopic derivation of the RPA strength function at finite temperature in the presence of thermal fluctuations is presented, starting from the path integral representation of the partition function and the ensuing static path approximation. The treatment of repulsive terms in the interaction and the strength for zero energy are also examined. Comparison with exact results in a solvable model indicates that a good prediction of the energy weighted moments of the strength function is obtained, particularly in transitional regions, where the improvement over conventional thermal RPA results is significant.
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