NUMERICAL-SIMULATION OF LEVEL STATISTICS

The statistics of energy eigenvalues for a class of Hamiltonians writt en as H = H-0 + tV is studied through the dynamics of levels regarding the perturbation parameter t as time. The statistical properties of e igenvalues are investigated by measuring quantities such as the neares t-neighbor level spacing distribution and the Dyson-Metha <(Delta)over bar (3)> statistics for two types of ensembles known as orthogonal an d unitary, and for three values of the system parameter controlling ch aos. (C) 1998 Elsevier Science B.V.