Stochastic Behavior in Classical and Quantum Hamiltonian Systems: VOLTA Memorial Conference, Como 1977

ISBN-13: 9783540091202 / Angielski / Miękka / 1979 / 379 str.

Giulio Casati; J. Ford

Opis

With contributions by numerous experts

Spis treści

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 Hénon-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.