STATISTICAL PROPERTIES OF RESONANCES IN 2-DIMENSIONAL QUANTUM-MECHANICAL POINT SCATTERING

Based on the close relations between statistical properties of quantum dissipative systems and scattering systems, we conjecture that for quantum chaotic scattering the distribution of the resonance poles of the S matrix is generic and follows the predictions of Ginibre's ensemble of random (non-Hermitian) matrices. This will be demonstrated on a simple example of a single particle being scattered by (a fixed number of) point obstacles distributed randomly in two dimensions.