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For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between 'perturbative' and 'non-perturbative' regimes, and to the observ ...
The Hamiltonian formulation of the guiding centre drift orbits for three-dimensional (3D) toroidal configurations with general time-dependent electric and magnetic field structures has been extended to cover relativistic particles. For static 3D magnetic f ...
We examine the correspondence between a quantum system and its classical analogue. We consider the wedge billiard which shows a wide variety of behaviors ranging from integrable to strongly chaotic. Angle-action coordinates are provided for the flow and fo ...
Drainage of a saturated horizontal aquifer following a sudden drawdown is reanalyzed using the Boussinesq equation. The effect of the finite length of the aquifer is considered in detail. An analytical approximation based on a superposition principle yield ...
We consider a random Schrödinger operator in an external magnetic field. The random potential consists of delta functions of random strengths situated on the sites of a regular two-dimensional lattice. We characterize the spectrum in the lowest N Landau ba ...
We derive the effective Bose Hamiltonian for a system of interacting excitons applying the Usui transformation. The fermionic nonlinearities are consistently included, leading to a density dependent correction to the kinetic Hamiltonian and to a saturation ...
We have investigated the topological modification of an equilibrium with nested magnetic flux surfaces computed with the free boundary variational moments equilibrium code (VMEC) subject to an applied magnetic field perturbation. Magnetic field lines are t ...
A new method for the separation of forward and backward running waves in elastic conduits, with possible extension to the arterial system, has been developed. The mathematical model is based on the one-dimensional flow equations which allow the treatment o ...
