SUDHIR R JAIN

Nuclear Physics Division, Van de Graaf Building, Bhabha Atomic Research Centre, Trombay,
Mumbai 400 085, India

Nuclei have complex energy-level sequence with statistical properties in agreement with canonical random matrix theory. This agreement appears when the one-particle one-hole states are mixed completely with two-particle two-hole states. In the transition, there is a new universality which we present here, bringing about a relation between dynamics and statistics. We summarize also the role of chaos in thermalization and dissipation in isolated systems like nuclei. The methods used to bring forth this understanding emerge from random matrix theory, semiclassical physics, and the theory of dynamical systems.

Keywords:  Chaos; dissipation; quantum transport; random matrix theory .

Pacs Nos.  24.60.Lz; 05.45.Mt; 45.50.Jf; 03.65.Sq