Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem

摘要

We write explicitly a transformation of the scattering phases reducing theproblem of quantum chaotic scattering for systems with M statisticallyequivalent channels at nonideal coupling to that for ideal coupling. Unfoldingthe phases by their local density leads to universality of their localfluctuations for large M. A relation between the partial time delays anddiagonal matrix elements of the Wigner-Smith matrix is revealed for idealcoupling. This helped us in deriving the joint probability distribution ofpartial time delays and the distribution of the Wigner time delay.