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Aufsatz
An ab-initio calculation of the Coulomb explosion of N_2 after heavy-ion bombardement
(1978)
Self-consistent-field calculations for the total potential energy of highly ionized N_2 molecules are presented. We compare these calculations to the experimentally observed energy released in the Coulomb explosion of ionized N_2 molecules created after collision with fast heavy ions. The most important electronic states of the fragment ions are determined.
Aufsatz
H_2 solved by the finite element method
(1987)
We report on the solution of the Hartree-Fock equations for the ground state of the H_2 molecule using the finite element method. Both the Hartree-Fock and the Poisson equations are solved with this method to an accuracy of 10^-8 using only 26 x 11 grid points in two dimensions. A 41 x 16 grid gives a new Hartree-Fock benchmark to ten-figure accuracy.
Dissertation
Fabrication and Investigation of Diamond Membranes for Photonic Nanostructures
(2023)
Due to its exceptional physical and chemical characteristics, diamond in a form of thin membranes is a particularly promising material for the fabrication of high-quality photonic devices. Especially for envisioned applications in quantum information technologies and communication, diamond gained, as a host material, an ever-increasing scientific interest based on remarkable properties of different color centers in its crystal lattice, e.g. nitrogen-vacancy centers, serving as single-photon emitters. As a high index ...
Dissertation
Ab initio Molecular Dynamics Simulations of the Structural Response of Solids to Ultrashort Laser and XUV Pulses
(2015-04-10)
The theoretical model and underlying physics described in this thesis are about the interaction of femtosecond-laser and XUV pulses with solids. The key to understand the basics of such interaction is to study the structural response of the materials after laser interaction. Depending on the laser characteristics, laser-solid interaction can result in a wide range of structural responses such as solid-solid phase transitions, vacuum phonon squeezing, ultrafast melting, generation of coherent phonons, etc. During my ...
Buch
Didactics of Mathematics in Higher Education as a Scientific Discipline
(2017-03-15)
Mathematics education at the tertiary level is a practical concern in many institutions of higher education, and efforts are being made world-wide to improve its quality. A growing number of mathematicians and mathematics educators see the need for doing research and thoughtful development work in mathematics education not only at school level, but also at tertiary level. To give momentum to the establishment of a scientific community of mathematicians and mathematics educators whose concern is the theoretical ...
Dissertation
Molekulare Grundlagen der PKA-Lokalisierung durch A-Kinase-Ankerproteine
(2018-08-30)
A-Kinase-Ankerproteine (AKAPs) tragen maßgeblich zur Spezifität des ubiquitären cAMP-Signalweges bei. Dies geschieht unter anderem durch die Verankerung der cAMP-abhängigen Proteinkinase (PKA) an verschiedene Zellorganellen, wodurch die PKA-Effekte lokal und zeitlich begrenzt werden. AKAPs variieren erheblich in Größe und Struktur, zeigen aber als gemeinsames Strukturmotiv eine amphipathische Helix auf. Alle vier Isoformen der regulatorischen Untereinheit der PKA (PKA-R) bilden bei Dimerisierung eine hydrophobe ...
Dissertation
Variationelle Zeitdiskretisierungen höherer Ordnung der Konvektions-Diffusions-Reaktions-Gleichungen in zeitabhängigen Gebieten
(2016-08-11)
Wir betrachten zeitabhängige Konvektions-Diffusions-Reaktions-Gleichungen in zeitabhängigen Gebieten, wobei die Bewegung des Gebietsrandes bekannt ist. Die zeitliche Entwicklung des Gebietes wird durch die ALE-Formulierung behandelt, die die Nachteile der klassischen Euler-und Lagrange-Betrachtungsweisen behebt. Die Position des Randes und seine Geschwindigkeit werden dabei so in das Gebietsinnere fortgesetzt, dass starke Gitterdeformationen verhindert werden. Als Zeitdiskretisierungen höherer Ordnung werden stetige ...
Dissertation
Artificial micro RNA system in Dictyostelium discoideum
(2011-01-12)
Dictyostelium discoideum is a social amoeba that serves as a model system for RNA interference and related mechanisms. Its position between plants and animals enables evolutionary snapshot of mechanisms and protein machinery involved in investigated subjects. MiRNAs are small regulatory RNAs that are evolutionary conserved and present in animals, plants, viruses and some prokaryotes. They have roles in development, cell growth and differentiation, apoptosis and their miss-regulation is associated with many diseases ...
Dissertation
Interatomic Coulombic decay in noble gas clusters of varying sizes investigated by photon-induced (dispersed) fluorescence spectrometry
(2018-06-06)
The main topic of this thesis is to study experimentally an ultrafast and efficient non radiative mechanism – the well-known interatomic Coulombic decay (ICD) – in noble gas clusters by employing fluorescence spectrometry technique in combination with synchrotron radiation. Using Neon clusters as prototype systems, a special variety of ICD, termed resonant ICD (RICD), has been investigated by a selective excitation of one component of the cluster and for different mean cluster sizes. The first part of the thesis was ...
Aufsatz
Molecular effects on the cross section for pair production and their importance in the evaluation of the total photonuclear cross section of {^16}O in the {\delta-resonance} region
(1988)
The screening correction to the coherent pair-production cross section on the oxygen molecule has been calculated using self-consistent relativistic wave functions for the one-center and two-center
Coulomb potentials. It is shown that the modification of the wave function due to molecular binding and the interference between contributions from the two atoms have both sizeable effects on the screening correction. The so-obtained coherent pair-production cross section which makes up the largest part of the total atomic ...