Abstract
The statistics of energy eigenvalues for a class of Hamiltonians written as H = H 0+ tV is studied through the dynamics of levels regarding the perturbation parameter t as time. The statistical properties of eigenvalues are investigated by measuring quantities such as the nearest-neighbor level spacing distribution and the Dyson-Metha Δ 3 statistics for two types of ensembles known as orthogonal and unitary, and for three values of the system parameter controlling chaos.
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