We present an in-depth analysis of the concept of spin precession frequency for integrable orbital motion in storage rings. Spin motion on the periodic closed orbit of a storage ring can be analyzed in terms of the Floquet theorem for equations of motion with periodic parameters and a spin precession frequency emerges in a Floquet exponent as an ad...
The relaxation-time limit from the quantum hydrodynamic model to the quantum drift-diffusion equations in R"3 is shown for solutions which are small perturbations of the steady state. The quantum hydrodynamic equations consist of the isentropic Euler equations for the particle density and current density including the quantum Bohm potential and a m...
Geloni, G. (Technische Univ. Eindhoven (...Saldin, E.L.Deutsches Elektronen-Synchrotron (DESY),...
As a consequence of motions driven by external forces, self-fields originate within an electron bunch, which are different from the static case. In the case of magnetic external forces acting on an ultrarelativistic beam, the longitudinal self-interactions are responsible for CSR (coherent synchrotron radiation)-related phenomena, which have been s...
This thesis develops a Galerkin finite element model of magnetisation dynamics in granular thin films. The governing equations of motion are the Gilbert equations with an effective magnetic field taking contributions from exchange interactions, magnetocrystalline anisotropy, applied magnetic field as well as the magnetostatic field given by Maxwell...
Aqueous solutions and liquid metals in contact with other phases or components experience strong Coulomb forces at their interface. To account this effect an electrical double layer at these liquid interfaces is introduced in the classical fluid dynamics. Coupling the electrostatic equations with the hydrodynamic equations, a microscopic model for ...