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Dissertation
Ultraschnelle kohärente Kontrollmethoden für die nichtlineare Mikroskopie und Spektroskopie
(2023-11-28)
Ultrakurze Laserpulse im Nanojoule-Energiebereich auf der Femto- bis Pikosekunden-Zeitskala ermöglichen die Erzeugung immenser Feldstärken bei Fokussierung auf wenige Quadratmikrometer Fläche. In diesem Szenario wirken starke Kräfte auf die Elektronensysteme von Atomen und Molekülen im Fokus ein, so dass sich die linearen optischen Eigenschaften von Stoffen ändern können – nichtlineare Eigenschaften treten zutage. Mit einem Pulsformer kann auf die breiten Spektren ultrakurzer Laserpulse per spektraler Phasenmodulation ...
Dissertation
On the analysis of path-dependent functionals of stochastic PDEs
(2023)
Weak approximation methods for stochastic partial differential equations (SPDEs) are concerned with approximating the probability distribution of the solution process rather than the realizations of the solution process itself. In this thesis, we provide new results and methods concerning the weak error analysis of numerical approximations of path-dependent functionals of solution processes of SPDEs. Two separate approaches to analyzing weak approximation errors are considered: the Itô calculus approach and the ...
Dissertation
Functional analyses of Dph1•Dph2 in synthesis of diphthamide, a clinically relevant modification on eEF2
(2024)
Diphthamide is a unique post-translational modification of a conserved histidine on the eukaryotic translation elongation factor 2 (eEF2). During translation elongation, eEF2 induces translocation of codon-anticodon duplexes across the ribosomal decoding center. Diphthamide is involved in fine-tuning of this process by stabilizing the codon-anticodon duplex and maintaining reading frame accuracy. Initially, diphthamide was identified as the target for diphtheria toxin, enabling ADP-ribosylation of eEF2 and resulting ...
Dissertation
Visualizing the electronic structure of small molecules with rovibronic photon emission spectroscopy
(2018)
A key in understanding the fundamental structure of atoms and molecules has been their absorption and emission of electromagnetic radiation across all spectral ranges. The observation of discrete line spectra contributed to the development of core concepts in quantum mechanics and thus the modern picture of physical processes occurring at small scales. The ongoing refinement of both experimental and theoretical methods in spectroscopy allows to deal with succeedingly more complex systems in different interactions to ...
Preprint
No Chaos in Dixon's System
(2020)
The so-called Dixon system is often cited as an example of a two-dimensional (continuous) dynamical system that exhibits chaotic behaviour, if its two parameters take their value in a certain domain. We provide first a rigorous proof that there is no chaos in Dixon's system. Then we perform a complete bifurcation analysis of the system showing that the parameter space can be decomposed into sixteen different regions in each of which the system exhibits qualitatively the same behaviour. In particular, we prove that ...
Dissertation
Symmetrien von Differentialgleichungen via Vessiot-Theorie
(2021-04)
Die übliche Definition des Symmetriebegriffs einer Differentialgleichung lautet wie folgt: Symmetrien sind Transformationen, die Lösungen wieder in Lösungen überführen. Modelliert man Differentialgleichungen als Untermannigfaltigkeiten eines Jetbündels, so lassen sich zwei Arten von Symmetrien unterscheiden: innere und äußere. Der erste Fall entspricht einer Transformation, die ausschließlich auf der Differentialgleichung definiert ist. Im zweiten Fall ist die betrachtete Transformation auf dem gesamten umgebenden ...
Dissertation
Electron Dynamics Driven by Intense Coherent Femtosecond Laser Pulses: Dynamic Interference in Atoms and Photoelectron Circular Dichroism in Chiral Molecules
(2018-12)
Since humans have begun to explore nature, they came up with new ways and tools, which have been permanently improved. At some point, those tools allowed to look into the microworld and to study the quantum nature of matter. One of such tools to explore the quantum world is the light amplification by stimulated emission of radiation (laser). Since the first lasers were built almost 60 years ago, their capabilities improved permanently, allowing the study of hitherto-unknown physical phenomena. Two of such phenomena, ...
Aufsatz
High-precision force sensing using a single trapped ion
(2016-06-16)
We introduce quantum sensing schemes for measuring very weak forces with a single trapped ion. They use the spin-motional coupling induced by the laser-ion interaction to transfer the relevant force information to the spin-degree of freedom. Therefore, the force estimation is carried out simply by observing the Ramsey-type oscillations of the ion spin states. Three quantum probes are considered, which are represented by systems obeying the Jaynes-Cummings, quantum Rabi (in 1D) and Jahn-Teller (in 2D) models. By using ...
Dissertation
Die Physiologie des Wirts-Parasitsystems pathogener Pilze des Eschentriebsterbens
(2019)
In der vorliegenden Arbeit wurde versucht, die optimalen Wachstumsbedingungen des Pilzes H. fraxineus (Haupterreger des Eschentriebsterbens) zu ermitteln. Dafür wurden drei Wachstumsversuche (Nährmedium, pH-Wert und Temperatur) an 25 Pilzstämmen durchgeführt.
• Die Ergebnisse des Nährmediumwachstumsversuches zeigten, dass Maismehl Agar Medium (MmA) die schnellste Kultivierung des Pilzes förderte und als das optimale Nährmedium gelten kann (im Vergleich mit den anderen sechs geprüften Nährmedien).
• Der pH-Wert-Versuch ...