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Dissertation
Darstellung, Eigenschaften und Reaktivität phosphorreicher Ferrocenophane
(2022-05)
Im Rahmen dieser Arbeit wurde ein präparativer Zugang zu phosphorreichen Ferrocenophanen entwickelt, die Substituenten mit variierenden sterischen und elektronischen Eigenschaften tra-gen und die Reaktivität dieser gegenüber Elektrophilen untersucht.
Die Reaktivitätsuntersuchungen des als Modellverbindung ausgewählten Diphospha-[2]fer-rocenophans L6a gegenüber Elektrophilen haben gezeigt, dass sowohl ein als auch beide Phos-phoratome selektiv, durch stöchiometrische Kontrolle mit Monoboran oder unterschiedlichen ...
Dissertation
Preparation and applications of periodical gold nanoparticle arrays
(2009-07-14)
Diese Arbeit beschäftigt sich mit der Herstellung und Anwendungen von periodischen Goldnanopartikel-Arrays (PPAs), die mit Hilfe von Nanosphären-Lithografie hergestellt wurden. In Abhängigkeit der verwendeten Nanosphären-Größe wurden dabei entweder kleine dreieckige Nanopartikel (NP) (bei Verwendung von Nanosphären mit einem Durchmesser von 330 nm) oder große dreieckige NPD sowie leicht gestreckte NP (bei Verwendung von Nanosphären mit einem Durchmesser von 1390 nm) hergestellt. Die Charakterisierung der PPAs erfolgte ...
Dissertation
Analysis of a Coupled Fluid-Elastic Interaction Problem
(2023-01)
In this thesis, a non-linear system of partial differential equations is studied, describing the motions of an elastic structure which is immersed into an incompressible viscous fluid. The displacement of the elastic structure is modelled by a Lamé system and the fluid velocity as well as the fluid pressure are described by the Navier-Stokes equations. The structure and the fluid are coupled via two boundary conditions at the interface which correspond to continuity of velocities and forces. As the elasticity is ...
Aufsatz
On the localization of electrons and holes in Hg_n and rare-gas clusters
(1994)
We have used a microscopic theory to study the size dependence of the degree of localization of the valence electrons and holes in neutral an ionized rare-gas and Hg_n clusters. We discuss under which circumstances localization of the electrons and holes is favoured. We have calculated the ionization potential of Xe_n, Kr_n and small Hg_n clusters. Good agreement with experiments is obtained. We have also determined the dependence of the ionization potential on cluster structure.
Dissertation
Finite Element Simulations for the Design of Therapeutic Approaches for Retinal Diseases
(2022)
The retinal disease age-related macular degeneration is the most common cause of vision loss in industrialized countries. In this thesis, motivated by the drug (antibody) treatment of this disease, we designed long-term three dimensional Finite Element simulations of the drug distribution in the healthy human eye. The underlying model consists of a time-dependent convection-diffusion equation coupled to a stationary Darcy equation describing the flow of the aqueous humor through the vitreous medium. We replaced the ...
Dissertation
Application of Temporal Airy Pulses for investigating the origin of Laser Induced Periodic Surface Structures and for developing new tools in cell surgery and malignant tissue identification
(2023)
In this thesis, ultrashort Temporal Airy Pulses are used to study Laser Induced Periodic Surface Structures (LIPSS) in Part I and to enable the photoinjection of fluorescent markers into single living cells in Part II, Chapter 8. In both cases, the laser pulse excites a dielectric material (fused silica and water) and the special spatio-temporal dynamics of the interaction of a Temporal Airy Pulse with the dielectric is exploited to extend the shape of the excited region along the axis of laser propagation. For the ...
Habilitation
Computing Ground States for Fermi-Bose Mixtures through Efficient Numerical Methods
(2023-05)
In this work, we will first review the Quantum Mechanics theory to derive the main equations. Next, we will analyze these equations by Functional Analysis methods to find conditions for existence, uniqueness, multiplicity, and other properties as positivity. Next, we will review and develop some numerical methods for solving the nonlinear Schrödinger equation, its time version, generalizations with rotational terms, and systems of NLSE (NLSS). We notice that the main problem to run numerical methods is the memory ...
Dissertation
Control of Open Quantum Systems: Examples & Methods for Non-Markovian Dynamics
(2023)
Usually open quantum systems are considered to be under the influence of noise and therefore faulty. On the other hand, a controlled system is regarded as something stable and predictable. It is often neglected, that the two aspects are very closely related. A perfectly isolated quantum system will not be subject to environmental influences, but this makes it also impossible to interact with it in any manner. Controlling and measuring such a system is impossible and therefore of no technical relevance. Every system ...