MICROSCOPIC DERIVATION OF QUANTUM FLUCTUATIONS IN NUCLEAR-REACTIONS

The coupling between collective and intrinsic states of a nucleus is treated with first order time-dependent perturbation theory at zero temperature. In addition to the friction constant and conservative potential corrections, general expressions for the diffusion constants and differential equations in time for the second moments are derived for position and momentum dependent couplings, and are calculated in a particular solvable model. As a result, the diffusion constants do not necessarily vanish at zero temperature but there remain pure quantum effects. For oscillatory collective motion, the low temperature limit of the Einstein relation is given and an existence theorem for damped pure quantum states is derived. © 1979.