N. Mae et S. Iida, Universality of S-matrix correlations for deterministic plus random Hamiltonians - art. no. 047102, PHYS REV E, 6304(4), 2001, pp. 7102
We study S-matrix correlations for random matrix ensembles with a Hamiltoni
an H=H-0+phi, in which H-0 is a deterministic NxN matrix and cp belongs to
a Gaussian random matrix ensemble. Using Efetov's supersymmetry formalism,
we show that in the limit N-->infinity correlation functions of S-matrix el
ements are universal on the scale of the local mean level spacing: the depe
ndence of H-0 enters into these correlation functions only through the aver
age S matrix and the average level density. This statement applies to each
of the three symmetry classes (unitary, orthogonal, and symplectic).