Nondegeneracy of the Ground State for Nonrelativistic Lee Model

In the present work, we first briefly sketch construction of the nonrelativistic Lee model on Riemannian manifolds, introduced in our previous works. In this approach, the renormalized resolvent of the system is expressed in terms of a well-defined operator, called the principal operator, so as to obtain a finite formulation. Then, we show that the ground state of the nonrelativistic Lee model on a compact Riemannian manifolds is nondegenerate using the explicit expression of the principal operator that we obtained. This is achieved by combining heat kernel methods with positivity improving semi-group approach and then applying these tools directly to the principal operator, rather than the Hamiltonian, without using cut-offs.Comment: 16 pages, typos are corrected, abstract and some sentences in the text are improved. Appears in Journal of Mathematical Physics, volume 55, issue 8 (2014

Letter to Mary Cross regarding the Southeastern Law Librarian, February 9, 1987

A letter from Sheree Berkin to Mary Cross asking to place an advertisement for a job position in the Southeastern Law Librarian

Economies of Touring in American Theatre Culture, 1835-1861

Employing methods from print and material culture studies, this dissertation explores the economic, social, and cultural dynamics of theatrical touring during a period, 1835-1861, when the ultimate symbols of anxiety over rising industrialization, migration, and urbanization--con artists and prostitutes or confidence men and painted women - were associated with both theatre and transportation. I argue that touring was central to the spread of theatre culture and is therefore critical to understanding U.S. popular culture. This project examines how geographic movements, as well as the circulation of extra-theatrical materials like newspapers and photographs, were instrumental not only for performers who attempted to solidify and enhance their status as stars, but also for utility actors not permanently attached to companies and for whom itinerancy became a necessity. It considers how performers responded to new modes of transportation and how managers developed circuits in the South, the Midwest, and the West to both accommodate and generate new entertainment markets. And it explores how legitimate systems of touring contended with informal or ostensibly illegitimate entertainment practices. Ultimately, my research examines acts of circulation within nineteenth-century theatrical culture as expressions of both capitalist expansion and of individual, sometimes oppositional, agency. In each of my three chapters, I explore a different scale of touring as antebellum theatre culture: as a set of practices through which celebrity was negotiated (Chapter 1), as a generator of artifacts (Chapter 2), and as a tool for developing regional identity (Chapter 3). In each chapter I approach theatre not only as a set of events that took place inside theatres, but also as a channel for the circulation of ideas, people, and objects throughout the country. My case studies interweave close readings of archival materials, including diaries, newspapers, and ephemera; I am attentive to how print and material artifacts helped to construct notions of movement and agency, as well as regional differences, in the nineteenth-century cultural imaginary. By examining touring, I fill a noteworthy gap in theatre historiography and contribute to the growing body of work on the circulatory patterns of popular culture. I recover some of the market maneuvers and details of lived experience that occurred in what we might call the margins of theatrical life--in the transitions between theatrical events, in epistolary exchanges across distances, and in locations that have been largely neglected by theatre scholars

Cezayirli Gazi Hasan Paşa ve onarılan çeşmesi

Taha Toros Arşivi, Dosya No: 104-Çeşmelerİstanbul Kalkınma Ajansı (TR10/14/YEN/0033) İstanbul Development Agency (TR10/14/YEN/0033

A sparsity-based framework for resolution enhancement in optical fault analysis of integrated circuits

The increasing density and smaller length scales in integrated circuits (ICs) create resolution challenges for optical failure analysis techniques. Due to flip-chip bonding and dense metal layers on the front side, optical analysis of ICs is restricted to backside imaging through the silicon substrate, which limits the spatial resolution due to the minimum wavelength of transmission and refraction at the planar interface. The state-of-the-art backside analysis approach is to use aplanatic solid immersion lenses in order to achieve the highest possible numerical aperture of the imaging system. Signal processing algorithms are essential to complement the optical microscopy efforts to increase resolution through hardware modifications in order to meet the resolution requirements of new IC technologies. The focus of this thesis is the development of sparsity-based image reconstruction techniques to improve resolution of static IC images and dynamic optical measurements of device activity. A physics-based observation model is exploited in order to take advantage of polarization diversity in high numerical aperture systems. Multiple-polarization observation data are combined to produce a single enhanced image with higher resolution. In the static IC image case, two sparsity paradigms are considered. The first approach, referred to as analysis-based sparsity, creates enhanced resolution imagery by solving a linear inverse problem while enforcing sparsity through non-quadratic regularization functionals appropriate to IC features. The second approach, termed synthesis-based sparsity, is based on sparse representations with respect to overcomplete dictionaries. The domain of IC imaging is particularly suitable for the application of overcomplete dictionaries because the images are highly structured; they contain predictable building blocks derivable from the corresponding computer-aided design layouts. This structure provides a strong and natural a-priori dictionary for image reconstruction. In the dynamic case, an extension of the synthesis-based sparsity paradigm is formulated. Spatial regions of active areas with the same behavior over time or over frequency are coupled by an overcomplete dictionary consisting of space-time or space-frequency blocks. This extended dictionary enables resolution improvement through sparse representation of dynamic measurements. Additionally, extensions to darkfield subsurface microscopy of ICs and focus determination based on image stacks are provided. The resolution improvement ability of the proposed methods has been validated on both simulated and experimental data

Soft inflation

The cosmology resulting from two coupled scalar fields was studied, one which is either a new inflation or chaotic type inflation, and the other which has an exponentially decaying potential. Such a potential may appear in the conformally transformed frame of generalized Einstein theories like the Jordan-Brans-Dicke theory. The constraints necessary for successful inflation are examined. Conventional GUT models such as SU(5) were found to be compatible with new inflation, while restrictions on the self-coupling constant are significantly loosened for chaotic inflation

Instantons from Low Energy String Actions

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular instantons exist as long as the Dilaton field found in string theory has a potential with a minimum, and provide an example of such an instanton. The class of singular instanton solutions are also examined, and we find that depending on the parameter values, the volume factor of the Euclidean region does not always vanish fast enough at the singularity to make the action finite.Comment: revtex 6 pages with 3 figures. Minor numerical correction mad

The Role of Iron in Heart Failure: a Literature Review

DergiPark: 963029tmsjIron has a key role in the energy generation of the cell. Different organs utilize iron for their diverse needs. The heart is an organ that demands high energy. Nearly one-third of stable heart failure patients and half of the hospitalized patients, regardless of their heart failure status, have anemia. The potential cause of anemia in heart failure patients is found to be multifactorial. Iron deficiency anemia is associated with the reduced number of red blood cells, which transport oxygen into the tissues of the human body. Therefore, in iron deficiency, mitochondria produce less energy. Since iron deficiency has a very important role in the prognosis of heart failure, since the beginning of the 2000s, researchers have conducted several studies and trials, investigating the effect of correcting iron deficiency on the clinical and symptomatic outcomes of heart failure. The most recent results of those studies and trials suggest that intravenous iron therapy in heart failure with reduced ejection fraction patients is associated with improved exercise capability, quality of life, and New York Heart Association class. Ongoing trials such as Ferinject Assessment in Patients with Iron Deficiency and Chronic Heart Failure 2 are aimed more into investigating hospitalization and mortality rates of patients on intravenous iron therapy