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Stochastic Behavior in Classical and Quantum Hamiltonian Systems


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Table of Contents

Integrable and stochastic behaviour in dynamical astronomy.- Adiabatic and stochastic motion of charged particles in the field of a single wave.- Numerical study of particle motion in two waves.- Stochastic ion heating by a perpendicularly propagating electrostatic wave.- Preservation of conditionally periodic movements with small change in the Hamilton function.- On resonant hamiltonians with two degrees of freedom near an equilibrium point.- A survey of the Henon-Heiles Hamiltonian with applications to related examples.- Ergodic components in the stochastic region in a Hamiltonian system.- A question about the localized mode due to a light impurity.- Nonlinear oscillation regimes in some physical problems.- Metric universality in nonlinear recurrence.- Magnetic flux annihilation in a large Josephson junction.- Some non-linear physics in crystallographic structures.- Laser instabilities - an example from synergetics.- Dynamics and ergodicity of the infinite harmonic crystal a review of some salient features.- Geodesic correction to stochastic parallel displacement of tensors.- The method of Dirichlet forms.- Regular and irregular spectra of molecules.- Semiclassical studies of bound states and molecular dynamics.- The role of periodic orbits in semiclassical quantization.- Semiclassical eigenvalues for rotating triatomic molecules.- Semiclassical calculation of vibrational energy levels for nonseparable potentials.- Classical quantization conditions for a dynamical system with stochastic behavior?.- Semi-classical ergodicity of quantum eigenstates in the Wigner representation.- Stochastic behavior of a quantum pendulum under a periodic perturbation.- Periodic solutions of arbitrary period, variational methods.

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