Numerical identification of regular and irregular spectra

摘要: Polyatomic molecules are described by nonintegrable Hamiltonians. For such systems it has been predicted (Percival 1973) that there two regions of the quantal spectrum with contrasting properties. Eigenvalues obtained for Henon-Heiles Hamiltonian (1964). Two found which behave differently under a slowly changing perturbation. This behaviour is required Percival existence regular and irregular spectra.