Statistics of Smatrix poles for chaotic systems with broken time reversal invariance: A conjecture
Abstract
In the framework of a random matrix description of chaotic quantum scattering the positions of Smatrix poles are given by complex eigenvalues Z_{i} of an effective nonHermitian randommatrix Hamiltonian. We put forward a conjecture on statistics of Z_{i} for systems with broken timereversal invariance and verify that it allows to reproduce statistical characteristics of Wigner time delays known from independent calculations. We analyze the ensuing twopoint statistical measures as, e.g., spectral form factor and the number variance. In addition, we find the density of complex eigenvalues of real asymmetric matrices generalizing the recent result by Efetov [Phys. Rev. B. 56, 9630 (1997)].
 Publication:

Physical Review E
 Pub Date:
 August 1998
 DOI:
 10.1103/PhysRevE.58.R1195
 arXiv:
 arXiv:condmat/9802306
 Bibcode:
 1998PhRvE..58.1195F
 Keywords:

 05.45.+b;
 03.65.Nk;
 11.30.Er;
 Scattering theory;
 Charge conjugation parity time reversal and other discrete symmetries;
 Condensed Matter
 EPrint:
 4 pages