Stochastic Behavior in Classical and Quantum Hamiltonian Systems

Inhaltsverzeichnis

• 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.