Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: application to the time-delay problem.
We write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling. Unfolding the phases by their local density leads to universality of their local fluctuations for large M. A relation between the partial time delays and diagonal matrix elements of the Wigner-Smith matrix is revealed for ideal coupling. This helped us in deriving the joint probability distribution of partial time delays and the distribution of the Wigner time delay.
Savin
D V
DV
Fachbereich Physik, Universität-GH Essen, 45117 Essen, Germany.
Fyodorov
Y V
YV
Sommers
H J
HJ