In this dissertation I analyze Sir Arthur Eddington's statistical theory as developed in the first six chapters of his posthumously published Fundamental Theory. In particular I look at the mathematical structure, philosophical implications, and relevancy to modern physics. This analysis is the only one of Fundamental Theory that compares it to modern quantum field theory and is the most comprehensive look at his statistical theory in four decades. Several major insights have been made in this analysis including the fact that he was able to derive Pauli's Exclusion Principle in part from Heisenberg's Uncertainty Principle. In addition the most profound general conclusion of this research is that Fundamental Theory is, in fact, an early quantum field theory, something that has never before been suggested. Contrary to the majority of historical reports and some comments by his contemporaries, this analysis shows that Eddington's later work is neither mystical nor was it that far from mainstream when it was published. My research reveals numerous profoundly deep ideas that were ahead of their time when Fundamental Theory was developed, but that have significant applicability at present. As such this analysis presents several important questions to be considered by modern philosophers of science, physicists, mathematicians, and historians. In addition it sheds new light on Eddington as a scientist and mathematician, in part indicating that his marginalization has been largely unwarranted.

Abstract In this thesis, the theory of static magnetic resonance spectral parameters of nuclear magnetic resonance (NMR) and electron spin resonance (ESR) spectroscopy is investigated in terms of the molecular Breit-Pauli Hamiltonian, which is obtained from the relativistic Dirac equation via the Foldy-Wouthuysen transformation. A leading-order perturbational relativistic theory of NMR nuclear shielding and spin-spin coupling tensors, and ESR electronic g-tensor, is presented. In addition, the possibility of external magnetic-field dependency of NMR parameters is discussed. Various first-principles methods of electronic structure theory and the role of one-electron basis sets and their performance in magnetic resonance properties in terms of their completeness profiles are discussed. The presented leading-order perturbational relativistic theories of NMR nuclear shielding tensors and ESR electronic g-tensors, as well as the theory of the magnetic-field dependent NMR shielding and quadrupole coupling are evaluated using first-principles wave function and density-functional theories.

“What is certain is that the question of […] re-making a landscape of prostitution in the city […] needs to be viewed as part of a changing, global discourse on the nature of contemporary cities” (Aalbers & Sabat 2012, p. 114).Prostitution – associated with well-known Red-Light Districts – has for a long time been seen as “a significant urban activity that relates to other economic and social functions of the city [and contributes] […] to the cognitive image of a city held by both residents and non-residents, even those who have never frequented them” (Ashworth, White & Winchester 1988, p. 201). It is therefore no surprise that within the neoliberal framework of inter-city competition, these once notorious districts, commonly associated with crime and violence, ascended into spaces of entertainment and consumption, neatly aligning with entrepreneurial city branding strategies. The Reeperbahn, Hamburg’s famous mile of sin, located within the district of St. Pauli is no exception to this rule. As a place traditionally located outside Hamburg’s social and physical city limits, it is nowadays frequented by thousands of tourists and party seekers, drawn in by the area’s myths and shady reputation (Khan 2012). Actively fostering the (economic) attractiveness of the so-called Kiez has long been part of Hamburg’s city politics and was reinforced with the creation of the Hamburg Brand Marketing Strategy in 2002, where the Entertainment Mile Reeperbahn alongside Hamburg’s Pulsating Scenes became two of the key success modules in branding the city. The repercussion this has had not only for the district and its inhabitants but specifically for the red-light industry has largely been understudied.This Master’s Thesis therefore, aims at studying the general effects of city branding, such as displacement and conflict over spatial uses in the face of Over-Tourism and re-development strategies. Looking at the specific case of the Reeperbahn, it closes the gap of the somewhat understudied effects of gentrification on St. Pauli’s unique culture. By interviewing different local stakeholders, conducting a broad literature review as well as undertaking field work, the Hamburg-St.-Pauli-Brand-Dialectic will be analyzed subsequently, showing, how the Hamburg Brand and the city as a whole have profited from St. Pauli’s reputation and what consequences this has had in turn for the district.

Das Radar mit synthetischer Apertur (Synthetic Aperture Radar - SAR) liefert eine quasi-fotographische Abbildung der beleuchteten Bodenoberfläche mit zusätzlichen Informationen, die von der gesendeten und empfangenen Polarisation der Wellen abhängig sind. Eine nützliche Anwendung der polarimetrischen SAR-Daten liegt bei der Klassifizierung der Bodenstruktur anhand der polarimetrischen Streuungseigenschaften. In diesem Zusammenhang beschäftigt sich die vorliegende Arbeit mit der Entwicklung und Untersuchung neuer polarimetrischen Fokussierungsfunktion für die SAR-Datenverarbeitung mit Hilfe der polarimetrischen Rückstreuungseigenschaft, die zu einer alternativen quantitativen Auswertung der polarimerischen SAR-Daten führen kann. Die physikalische Optik Approximation wird für die numerische Berechnung der rückgestreuten elektrischen Felder der kanonischen Ziele unter SAR-Geometrie unter Berücksichtigung der Polarisationslage verwendet. Aus den rückgestreuten elektrischen Felder werden die polarimetrischen Radarrückstreuquerschnitte berechnet. Ein SAR-Simulator wird zur Datenverarbeitung der E-SAR des DLR entwickelt. Der Ansatz des polarimetrischen Radarrückstreuquerschnittes ermöglicht die approximierte numerische Berechnung der Rückstreuungseigenschaften der kanonischen Ziele sowohl im kopolaren als auch im kreuzpolaren Polarisationsbetrieb. Bei der SAR-Datenverarbeitung werden die Rohdatensätze durch die Referenzfunktion eines Punktzieles in der Entfernungsrichtung verarbeitet. Bei der Azimutkompression werden die vier Referenzfunktionen, das heißt die Referenzfunktion eines Punktzieles, die polarimetrische Fokussierungsfunktion einer flachen Platte, die polarimetrische Fokussierungsfunktion eines Zweifach-Reflektors und die polarimetrische Fokussierungsfunktion eines Dreifach-Reflektors, eingesetzt. Die qunatitativen Auswertung der SAR-Daten werden anhand des Pauli-Zerlegungstheorems, der differentiellen Reflektivität und des linearen Depolarisationsverhältnises durchgeführt.

Das Radar mit synthetischer Apertur (Synthetic Aperture Radar - SAR) liefert eine quasi-fotographische Abbildung der beleuchteten Bodenoberfläche mit zusätzlichen Informationen, die von der gesendeten und empfangenen Polarisation der Wellen abhängig sind. Eine nützliche Anwendung der polarimetrischen SAR-Daten liegt bei der Klassifizierung der Bodenstruktur anhand der polarimetrischen Streuungseigenschaften. In diesem Zusammenhang beschäftigt sich die vorliegende Arbeit mit der Entwicklung und Untersuchung neuer polarimetrischen Fokussierungsfunktion für die SAR-Datenverarbeitung mit Hilfe der polarimetrischen Rückstreuungseigenschaft, die zu einer alternativen quantitativen Auswertung der polarimerischen SAR-Daten führen kann. Die physikalische Optik Approximation wird für die numerische Berechnung der rückgestreuten elektrischen Felder der kanonischen Ziele unter SAR-Geometrie unter Berücksichtigung der Polarisationslage verwendet. Aus den rückgestreuten elektrischen Felder werden die polarimetrischen Radarrückstreuquerschnitte berechnet. Ein SAR-Simulator wird zur Datenverarbeitung der E-SAR des DLR entwickelt. Der Ansatz des polarimetrischen Radarrückstreuquerschnittes ermöglicht die approximierte numerische Berechnung der Rückstreuungseigenschaften der kanonischen Ziele sowohl im kopolaren als auch im kreuzpolaren Polarisationsbetrieb. Bei der SAR-Datenverarbeitung werden die Rohdatensätze durch die Referenzfunktion eines Punktzieles in der Entfernungsrichtung verarbeitet. Bei der Azimutkompression werden die vier Referenzfunktionen, das heißt die Referenzfunktion eines Punktzieles, die polarimetrische Fokussierungsfunktion einer flachen Platte, die polarimetrische Fokussierungsfunktion eines Zweifach-Reflektors und die polarimetrische Fokussierungsfunktion eines Dreifach-Reflektors, eingesetzt. Die qunatitativen Auswertung der SAR-Daten werden anhand des Pauli-Zerlegungstheorems, der differentiellen Reflektivität und des linearen Depolarisationsverhältnises durchgeführt.

of the Diploma Thesis: The presented diploma thesis is focussed on the standardization of the modified test of Working curve by Emil Kraepelin and Richard Pauli, in agrément with the project PREGnet - basic methodology for ergodiagnostic examination in Czech Republic. The methodology was modified for manipulation activities and termed Test of rope clamps. It handles contraindications in the use of basic test and absence of standardized ergodiagnostic and endotherapeutic tests, tools and procedures in the field of examination and therapy of hand function. The thesis is both theoretical and empirical and it is based on the quantitative type of research. Theoretical part is represented by a literature surfy oriented on the test of Working curve by Emil Kraepelin and Richard Pauli, its modified vision and its practical application. Practical part is composed of a psychometric study determining normative data and development of test documentation. Representative sample was selected by accidental selection method from economically active healthy Czech population. Techniques for quantitative type of research were used for data collection. Collected data were treated and analysed by methods of descriptive statistics. Developed documentation and the normative data for Test of rope clamps can be used in...

La quantification sur le cône de lumière est une méthode de quantification opérant dans la Front Form de Dirac et nécessitant une procédure de traitement des contraintes dynamiques. Elle est abordée dans le cas de deux théories scalaires. La théorie phi4 (1+1) est examinée à l'aide d'une formulation continue du développement de Haag des champs et des modes zéros (CLCQ). Ceci permet une résolution originale des équations du mouvement et des contraintes ainsi qu'une renormalisation consistante des divergences infrarouges et ultraviolettes. L'analyse de la transition de phase fait apparaître au deuxième ordre un couplage critique non perturbatif de valeur analogue aux résultats du quatrième ordre des méthodes conventionnelles. L'étude comparée du commutateur de Pauli-Jordan dans les formulations discrètes et continues montre que la violation de causalité n'est qu'un pur effet de taille finie associé à la soustraction du mode zéro dans les sommes discrètes. L'étude de la théorie phi4 (3+1) O(N) est amorcée par le calcul des champs et des modes zéros à l'ordre 3 du développement en 1/sqrt(N) qui permet de retrouver jusqu'à l'ordre 1/N^3 les fonctions de corrélation conventionnelles obtenues par intégrales de chemin.

Dans cette thèse on s'interesse à l'étude de phénomènes d'accumultation spectrale de certains opérateurs issus de la physique quantique à savoir les opérateurs de Schrödinger, de Pauli, et de Dirac. Typiquement, ces opérateurs apparaissent dans la modélisation de certains problèmes de physique sous forme d'équations d'évolution. Selon les contraintes du problème physique, ils peuvent être associés ou non à un champ magnétique pouvant être constant ou non constant. Le cadre où le champ magnétique est dit admissible est celui que nous allons considérer (en dimension 3). Ce dernier cadre inclut en particulier le cas de champs magnétiques constants. Deux grands thèmes sont essentiellement abordés dans cette thèse : l'étude des résonances près de seuils des Hamiltoniens quantiques cités ci-dessus lorsqu'ils sont perturbés par des potentiels électriques auto-adjoints, et l'étude de leur spectre discret lorsqu'ils sont perturbés par des potentiels électriques non auto-adjoints. Le second thème sera exploré au moyent d'inégalités Lieb-Thirring généralisés.

We study point particles to illustrate the various symmetries such as the Poincaré group and its non-relativistic version. In order to find the Noether charges and the Noether currents, which are conserved under physical symmetries, we study Noether’s theorem. We describe the Pauli-Lubanski spin vector, which is invariant under the Poincaré group and describes the spin of a particle in field theory. By promoting the Pauli-Lubanski spin vector to an operator in the quantized theory we will see that it describes the spin of a particle. Moreover, we find an action for a smooth spinning bosonic particle by compactifying one string dimension together with one embedding dimension. As with the Pauli-Lubanski spin vector, we need to quantize this action to confirm that it is the action for a smooth spinning particle. / Vi studerar punktpartiklar för att illustrera olika symemtrier som t.ex. Poincaré gruppen och dess icke-relativistiska version. För att hitta de Noether laddningar och Noether strömmar, vilka är bevarade under symmetrier, studerar vi Noether’s sats. Vi beskriver Pauli-Lubanksi spin vektorn, vilken har en invarians under Poincaré gruppen och beskriver spin hos en partikel i fältteori. Genom att låta Pauli-Lubanski spin vektorn agera på ett tillstånd i kvantfältteori ser vi att den beskriver spin hos en partikel. Dessutom finner vi en verkan för en spinnande partikel genom att kompaktifiera en bosonisk sträng dimension tillsammans med en inbäddad dimension. Som med Pauli-Lubanski spin vektorn, kvantiserar vi denna verkan för att bekräfta att det är en verkan för en spinnande partikel.

Adhesion between solid bodies plays a prominent role in a wide variety of situations ranging from tribological applications to dust coagulation initiating the formation of planets. It can be due to various reasons like capillary, electrostatic, van der Waals, and hydrophobic forces. Among these, adhesion due to van der Waals force| which has its origin in permanent or instantaneous electric dipoles present in all atoms and molecules|is of special significance as it is present in all cases. Computational studies on adhesion due to van der Waals force commonly assume it as a surface force due to its short effective range, which is about a few tens of nanometers, in comparison to the length-scales commonly encountered. However, such restrictions are often violated in various important problems. For example, the characteristic dimensions of asperities| which are the smallest roughness elements interacting to cause friction and wear| are usually of nanometer length-scale. In addition, the assumptions inherent in development of surface force model are exact only when the deformations are small. In all such situations, the van der Waals force must be assumed as distributed over the volume. In this work, a computational model is developed by incorporating van der Waals force and short-range repulsion (steric repulsion or Pauli repulsion) as body forces distributed over the volume in a large deformation, static/transient, finite element framework. First the development of the general formulation is discussed, and then it is specialized for various considerations like handling symmetry and interaction between an elastic body and a rigid half-space, which offer significant computational advantages over the general formulation. The applicability of the model is illustrated by using a number of benchmark and practical problems. The comparison of the analysis results and well-established analytical models are provided, which validates our method. As a specific example, the smooth change of interaction force from a thin-rod model to a at-plate model on increasing the cross-sectional areas of two interacting elastic rods is demonstrated. The impact of elastic bodies in presence adhesion, and the associated energy loss is an important concern in studies regarding the origin of friction. Therefore, adhesive impact of elastic rods and spheres is studied using our formulation. Emphasis of the study is on finding the apparent energy loss during impact, which represents the part of energy lost to elastic stress waves remaining in the body after the impact, and hence not available for rebound motion. In case of impact of elastic rods on a rigid half-space, it is shown that the apparent energy loss is a unique function of the tensile strain energy developed in the rod due to van der Waals attraction. A one-dimensional model is developed for this case to determine the energy loss based on the specified problem parameters, which can be used to predict practically relevant phenomena like capture. In case of impact of elastic spheres, which is often correlated with asperity interactions, the energy loss is found to be significant only if adhesion-induced instabilities occur. The behavior shown by rods and spheres are probably at the two extremes with regards to energy loss during impact of elastic bodies in presence of adhesion. Practical use of the formulation is demonstrated by applying it to the study of amplitude variation and phase shifts in tapping-mode atomic force microscopy. Specifically, the advantage of operating the AFM cantilever just below its natural frequency as compared to operating it just above the natural frequency is demonstrated. Bistable behavior, which is the coexistence of two stable vibration modes under exactly same operating conditions, is shown to be severe when the driving frequency is higher than the natural frequency of AFM cantilever even in the absence of adhesion, which can result in spurious contrast-reversal artifacts during imaging. The hysteresis loop associated with the bistable behavior may lead to erroneous conclusions regarding presence of adhesion. Since this model overcomes the limitations of lumped parameter models and the computational models based on surface force approximation, the results can be used for much more realistic interpretation of experimental data. Computational framework developed in this study achieves the capability for analysis of adhesive contact problems directly from van der Waals interaction and steric repulsion. Such a model can be used for revisiting the fundamental problems in contact mechanics, as well as for providing better insights into experimental observations.