Intuizione e visualizzazione in matematica con particolare riferimento a Felix Klein

Questo lavoro trae spunto da un rinnovato interesse per l’«intuizione» e il «pensiero visivo» in matematica, e intende offrire un contributo alla discussione contemporanea su tali questioni attraverso lo studio del caso storico di Felix Klein. Dopo una breve ricognizione di alcuni dei saggi più significativi al riguardo, provenienti sia dalla filosofia della matematica, sia dalla pedagogia, dalle neuroscienze e dalle scienze cognitive, l’attenzione si concentra sulla concezione epistemologia di Klein, con particolare riferimento al suo uso del concetto di ‘intuizione’. Dai suoi lavori e dalla sua riflessione critica si ricavano non solo considerazioni illuminanti sulla fecondità di un approccio «visivo», ma argomenti convincenti a sostegno del ruolo cruciale dell’intuizione in matematica.

Dispersive wave solutions of the klein-gordon equation in cosmology

L'equazione di Klein-Gordon descrive una ampia varietà di fenomeni fisici come la propagazione delle onde in Meccanica dei Continui ed il comportamento delle particelle spinless in Meccanica Quantistica Relativistica. Recentemente, la forma dissipativa di questa equazione si è rivelata essere una legge di evoluzione fondamentale in alcuni modelli cosmologici, in particolare nell'ambito dei cosiddetti modelli di k-inflazione in presenza di campi tachionici. L'obiettivo di questo lavoro consiste nell'analizzare gli effetti del parametro dissipativo sulla dispersione nelle soluzioni dell'equazione d'onda. Saranno inoltre studiati alcuni tipici problemi al contorno di particolare interesse cosmologico per mezzo di grafici corrispondenti alle soluzioni fondamentali (Funzioni di Green).

Bottle microresonators for applications in quantum optics and all-optical signal processing

This thesis reports on the experimental realization, characterization and application of a novel microresonator design. The so-called “bottle microresonator” sustains whispering-gallery modes in which light fields are confined near the surface of the micron-sized silica structure by continuous total internal reflection. While whispering-gallery mode resonators in general exhibit outstanding properties in terms of both temporal and spatial confinement of light fields, their monolithic design makes tuning of their resonance frequency difficult. This impedes their use, e.g., in cavity quantum electrodynamics (CQED) experiments, which investigate the interaction of single quantum mechanical emitters of predetermined resonance frequency with a cavity mode. In contrast, the highly prolate shape of the bottle microresonators gives rise to a customizable mode structure, enabling full tunability. The thesis is organized as follows: In chapter I, I give a brief overview of different types of optical microresonators. Important quantities, such as the quality factor Q and the mode volume V, which characterize the temporal and spatial confinement of the light field are introduced. In chapter II, a wave equation calculation of the modes of a bottle microresonator is presented. The intensity distribution of different bottle modes is derived and their mode volume is calculated. A brief description of light propagation in ultra-thin optical fibers, which are used to couple light into and out of bottle modes, is given as well. The chapter concludes with a presentation of the fabrication techniques of both structures. Chapter III presents experimental results on highly efficient, nearly lossless coupling of light into bottle modes as well as their spatial and spectral characterization. Ultra-high intrinsic quality factors exceeding 360 million as well as full tunability are demonstrated. In chapter IV, the bottle microresonator in add-drop configuration, i.e., with two ultra-thin fibers coupled to one bottle mode, is discussed. The highly efficient, nearly lossless coupling characteristics of each fiber combined with the resonator's high intrinsic quality factor, enable resonant power transfers between both fibers with efficiencies exceeding 90%. Moreover, the favorable ratio of absorption and the nonlinear refractive index of silica yields optical Kerr bistability at record low powers on the order of 50 µW. Combined with the add-drop configuration, this allows one to route optical signals between the outputs of both ultra-thin fibers, simply by varying the input power, thereby enabling applications in all-optical signal processing. Finally, in chapter V, I discuss the potential of the bottle microresonator for CQED experiments with single atoms. Its Q/V-ratio, which determines the ratio of the atom-cavity coupling rate to the dissipative rates of the subsystems, aligns with the values obtained for state-of-the-art CQED microresonators. In combination with its full tunability and the possibility of highly efficient light transfer to and from the bottle mode, this makes the bottle microresonator a unique tool for quantum optics applications.

Patent arterial duct, bottle-meal, and fatal myocardial ischaemia

A patent arterial duct in pre-term neonates is frequent. Systemic complications consecutive to left-to-right shunting are well known but fatal myocardial ischaemia has not been described till now. The presented premature baby died from catecholamine refractory cardiogenic shock. Autoptic examination revealed acute ischaemic changes predominantly in the inner third of myocardium, speaking of coronary hypoperfusion due to a steal phenomenon secondary to the patent arterial duct.

[Radiotherapy of the prostate gland--old wine in a new bottle?]

The outcome and morbidity in the treatment of prostate cancer by radiation therapy depends on the balance between tumour control and normal tissue damage. Recent technological advances have allowed to reduce the amount of normal tissue included in target treatment volumes. This diminishes morbidity and provides an opportunity for dose escalation, increasing tumour control rates. The new application techniques are discussed along with their integration in treatment concepts. Although there are no randomised studies to provide evidence of increased survival, the available evidence supports the hypothesis that the introduction of novel radiation techniques leads to survival rates equivalent to surgical series with sufficient safety.

CHANGE FOR GOOD? AN ASSESSMENT OF THE DISCONNECT BETWEEN PERCEIVED BENEFITS BY ENGOS AND USER SATISFACTION OF SOLAR BOTTLE LIGHTS IN INFORMAL SETTLEMENTS OF DHAKA CITY, BANGLADESH

A major challenge for a developing country such as Bangladesh is to supply basic services to its most marginalized populations, which includes both rural and urban dwellers. The government struggles to provide basic necessities such as water and electricity. In marginalized urban communities in Bangladesh, in particular informal settlements, meeting basic needs is even direr. Most informal settlements are built to respond to a rapid immigration to urban centers, and are thought of as ‘temporary structures’, though many structures have been there for decades. In addition, as the settlements are often squatting on private land, access to formalized services such as electricity or water is largely absent. In some cases, electricity and water connections are brought in - but through informal and non-government sanctioned ways -- these hookups are deemed ‘illegal’ by the state. My research will focus on recent efforts to help ameliorate issues associated with lack of basic services in informal settlements in Bangladesh – in this case lack of light. When the government fails to meet the needs of the general population, different non-government organizations tend to step in to intervene. A new emphasis on solar bottle systems in informal urban settlement areas to help address some energy needs (specifically day-time lighting). One such example is the solar bottle light in Bangladesh, a project introduced by the organization ‘Change’. There has been mixed reactions on this technology among the users. This is where my research intervenes. I have used quantitative method to investigate user satisfactions for the solar bottle lights among the residents of the informal settlements to address the overarching question, is there a disconnect between the perceived benefits of the ENGO and the user satisfaction of the residents of the informal settlements of Dhaka City? This paper uses survey responses to investigate level of user satisfaction and the contributing factors.