Suche
Anzeige der Dokumente 3811-3820 von 5799
Preprint
Parity of the Number of Irreducible Factors for Composite Polynomials
(2008)
Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan’s theorem in which discriminants of polynomials over a finite field or the integral ring Z play an important role. In this paper we consider discriminants of the composition of some polynomials over finite fields. The relation between the discriminants of composed polynomial and the original ones will be established. We apply this to obtain ...
Dissertation
Efficient Characterisation and Optimal Control of Open Quantum Systems - Mathematical Foundations and Physical Applications
(2015-06-19)
Since no physical system can ever be completely isolated from its environment, the study of open quantum systems is pivotal to reliably and accurately control complex quantum systems. In practice, reliability of the control field needs to be confirmed via certification of the target evolution while accuracy requires the derivation of high-fidelity control schemes in the presence of decoherence.
In the first part of this thesis an algebraic framework is presented that allows to determine the minimal requirements on ...
Dissertation
Optimizing Robust Quantum Gates in Open Quantum Systems
(2015-05-27)
We are currently at the cusp of a revolution in quantum technology that relies not just on the passive use of quantum effects, but on their active control. At the forefront of this revolution is the implementation of a quantum computer. Encoding information in quantum states as “qubits” allows to use entanglement and quantum superposition to perform calculations that are infeasible on classical computers. The fundamental challenge in the realization of quantum computers is to avoid decoherence – the loss of quantum ...
Dissertation
Mikrostrukturierte Sensoren für die pH-Wert-Bestimung auf Basis von dünnen, intrinisch leitfähigen Polyanilinschichten
(2005-02-02)
Der pH-Wert stellt in der Chemie, Physik, Biologie, Pharmazie und Medizin eine wichtige Meßgröße dar, da eine Vielzahl von Reaktionen durch den pH-Wert bestimmt wird. In der Regel werden zur pH-Wert-Messung Glaselektroden eingesetzt. Hierbei konnte der pH-sensitive Bereich zwar bis auf einige Mikrometer reduziert werden, aber die Gesamtab-messungen betragen immer noch 15-20 cm. Mit der Einführung miniaturisierter Reaktionsgefäße ist daher der Bedarf an miniaturisierten Sensoren enorm gestiegen. Um in solchen Gefäßen ...
Dissertation
Theory of laser-induced ultrafast structural changes in solids
(2010-04-21)
The present thesis is a contribution to the study of laser-solid interaction.
Despite the numerous applications resulting from the recent use of laser technology, there is still a lack of satisfactory answers to theoretical questions regarding the mechanism leading to the structural changes induced by femtosecond lasers in materials.
We provide here theoretical approaches for the description of the structural response of different solids (cerium, samarium sulfide, bismuth and germanium) to femtosecond laser ...
Aufsatz
Double photoionization of argon into the {3s3p^5} {^1P}- and {^3P}-states
(1994)
Double photoionization of argon was studied
by photon induced fluorescence spectroscopy (PIFS). Cross sections for the double photoionization into the {3s3p^5} {^1P}, {^3P} states of Ar^{+ +} are presented for exciting photon energies between threshold and 120 eV. In the threshold range the energy dependencies of these cross sections were determined for the first time. Singlet and triplet states are populated with comparable probabilities at equal excess energies, in contrast to predictions of the extended Wannier ...