ADIABATIC GEOMETRIC PHASES AND RESPONSE FUNCTIONS

Treating a many-body Fermi system in terms of a single particle in a d eforming mean field, we relate adiabatic geometric phase to susceptibi lity for the noncyclic case, and to its derivative for the cyclic case . Employing the semiclassical expression of the susceptibility, the ex pression for geometric phase for chaotic quantum system immediately fo llows. Exploiting the well-known association of the absorptive part of susceptibility with dissipation, our relations may provide a quantum mechanical origin of the damping of collective excitations in Fermi sy stems. [S0031-9007(97)05154-5].