## Order, disorder, and chaos in quantum systems: proceedings of a conference held at Dubna, USSR, on October 17-21, 1989 |

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### Contents

Negative discrete spectrum | 3 |

Discrete spectrum in the gaps of | 17 |

On the asymptotics of discrete spectrum | 27 |

Copyright | |

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1990 Birkhauser Verlag Advances and Applications assumptions asymptotics autocorrelation function barrier behavior billiard Birkhauser Verlag Basel boundary conditions bounded operators chaotic classical closable coefficients consider continuous spectrum corresponding defined denote dependence differential discrete spectrum discuss Dubna dynamics eigenfunctions eigenvalues energy equation essential spectrum estimate evolution exists finite formula given Green's function Hamiltonian Hilbert space infinite integral interaction interval isoenergy curve kick Lemma Leningrad State University linear localization magnetic field Mathematical matrices obtained operator H P.Exner P.Seba packet parameter particle periodic perturbation Phys potential problem proof Proposition pure point quadratic form quantization quantum chaos quantum systems quantum wire quasi-energy spectrum random random matrices relation representation resonances Russian satisfied scattering Schroedinger operators self-adjoint extensions self-adjoint operator sequence singularly continuous solutions spacing distribution strongly continuous subset subspace symmetry t e R1 Theorem theory time-dependent unitary USSR wavefunction zero