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Separating the regular and irregular energy levels and their statistics in a Hamiltonian system with mixed classical dynamics

Separating the regular and irregular energy levels and their statistics in a Hamiltonian system with mixed classical dynamics

We look at the high-lying eigenstates (from the 10001 to the 13000) in the Robnik billiard (defined as a quadratic conformal map of the unit disk) with the shape parameter lambda =0.15. All the 3000 eigenstates have been numerically calculated and examined in the configuration space and in the phase …