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The underlying goal of this Master's thesis is of laying down, in so far as possible, the foundations for later work in Geometric Stochastic Mechanics. The first part is a presentation of symplectic reduction, going through the momentum map and culminating ...
We analyze in depth the eigenmodes symmetry of the vectorial electromagnetic wave equation with discrete symmetry, using a recently developed maximal symmetrization and reduction scheme leading to an automatic technique which decomposes every mode into its ...
Dislocations alter perfect crystalline order and produce anisotropic broadening of the X-ray diffraction profiles, which is described by the dislocation contrast factor. Owing to the lack of suitable mathematical tools to deal with dislocations in crystals ...
The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary couplings between translational and rotational degrees of freedom, as arise in ...
Dislocations are known for their peculiar effects on the diffraction profiles. Each given dislocation type, produces specific anisotropic line broadening basically determined by the so-called contrast factor (CF). Owing to the lack of a suitable mathematic ...
The low-temperature structure of 4-methylpyridine-N-oxide was previously determined in symmetry P4(1) [Damay et al. (2006), Acta Cryst. B62, 627-633]. Using a recently published symmetry-determination method it was found that the true symmetry of the struc ...
Controlled doping of SrCu2(BO3)(2), a faithful realization of the Heisenberg spin-1/2 antiferromagnet on the Shastry-Sutherland lattice, with nonmagnetic impurities generates bound states below the spin gap. These bound states and their symmetry properties ...
Via compression ([18,8]) we write the n-dimensional Chaplygin sphere system as an almost Hamiltonian system on T*SO (n) with internal symmetry group SO (n-1). We show how this symmetry group can be factored out, and pass to the fully reduced system on (a f ...
This article is devoted to the study of an incompressible viscous flow of a fluid partly enclosed in a cylindrical container with an open top Surface and driven by the constant rotation of the bottom wall. Such type of flows belongs to a group of recircula ...
Three-dimensional optical imaging by tomographic techniques is presented, especially with object rotation in a transmission configuration. In digital holographic microscopy, the complex field is measured, which permits either to study transparent objects w ...
