K. Zyczkowski, SCATTERING MATRICES WITH BLOCK SYMMETRIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(2), 1997, pp. 2257-2260
Scattering matrices with block symmetry, which correspond to a scatter
ing process in cavities with geometrical symmetry, are analyzed. The d
istribution of the transmission coefficient is computed for a differen
t number of channels in the case of a system with or without the time-
reversal invariance. An interpolating formula for the case of gradual
time reversal symmetry breaking is proposed.