PARAMETRIC CORRELATIONS OF SCATTERING PHASE-SHIFTS AND FLUCTUATIONS OF DELAY TIMES IN FEW-CHANNEL CHAOTIC SCATTERING

By using a supersymmetric method we derive an explicit expression for the parametric correlation function of densities of eigenphases theta( a) of the S matrix in a chaotic quantum system with broken time-revers al symmetry coupled to the continuum via M equivalent open channels; a = 1,...,M. We use it to find the distribution of derivatives of these eigenphases over the energy (''phase-shift times'') as well as over a n arbitrary external parameter. We also find the parametric correlatio ns of Wigner-Smith delay times.