In this thesis, we investigate the existence and regularity results of a ferroelectric phase-field model, which is a state-of-the-art model arising in recent years from the engineering area for the ferroelectric study.

LIMA steht für "LehrInnovation in der Studieneingangsphase 'Mathematik im Lehramtsstudium' – Hochschuldidaktische Grundlagen, Implementierung und Evaluation". Hinter dem Akronym verbirgt sich ein interdisziplinäres Gemeinschaftsprojekt der Universitäten Paderborn und Kassel. Es begann im Januar 2009 und endete im August 2012. Gefördert wurde LIMA vom Bundesministerium für Bildung und Forschung (BMBF) im Rahmen der „Zukunftswerkstatt Hochschullehre“. Das übergeordnete Ziel des Vorhabens war, den Studienbeginn für ...

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 ...

The expansion of long-distance data communication at a wavelength of 1.55 µm calls for larger data transfer rates. Consequently, an improvement of emission and modulation properties of lasers emitting in this wavelength region is of high interest. The utilization of so-called tunnel-injection (TI) structures in InP-based quantum dot (QD) lasers is promising to fulfill this task. The aim of this thesis was the realization and analysis of TI structures in the lattice matched InP material system and incorporation into ...

The object of this doctoral thesis is two-fold and can be classified into two, but intrinsically related categories: (i) development of theoretical models for the simulation of electron dynamics and in parallel to this, (ii) method development of efficient numerical algorithms for ad hoc control of photoelectron and photoion-related observables. The first category primarily focuses on the development of a variety of theoretical models describing the interaction of light and matter for the extraction and control of ...

A Laurent-Puiseux series $$ \sum\limits_{n = n_0}^{\infty }{a_n (z - z_0)^{n/k} (a_n \in K, k \in ℕ, n_0 \in ℤ ) } \quad (1) $$ where $ k $ denotes the corresponding Puiseux number and $ K $ an infinite computable field - mostly $ K= ℚ(α_1,\ldots,α_n) $ : a field of rational functions in several variables, is mainly characterized by the general coefficient. We consider the case where an is a term of an m-fold hypergeometric sequence. That is $ a_{n+m} = r(n) a_n $ for all sufficiently large integers $ n, r(n) $ ...

Loss of Deg1/Pus3 and concomitant elimination of pseudouridine in tRNA at positions 38 and 39 (ψ38/39) was shown to specifically impair the function of tRNAGlnUUG under conditions of temperature-induced down-regulation of wobble uridine thiolation in budding yeast and is linked to intellectual disability in humans. To further characterize the differential importance of the frequent ψ38/39 modification for tRNAs in yeast, we analyzed the in vivo function of non-sense suppressor tRNAs SUP4 and sup70-65 in the absence ...

Laser material interaction and structure formation in metals under controlled ultrashort laser pulse conditions are discussed in this work. A novel approach is presented describing the exact amount of energy deposited by a laser pulse in a gold surface, applicable under a variety of structuring conditions. The presented model is validated by a new introduced broad-band pump-probe reflectivity measurement method. A technique also applicable to investigate other phenomenas where 20 fs resolution combined with an octave ...

Vorlesungsskript zur Vorlesung „Lineare Algebra und Analytische Geometrie“ an der Universität Kassel im Sommersemester 2020. Es handelt sich um die Druckversion.