Self-adjoint extensions and spectral analysis in the Calogero problem

In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential alpha x(-2). Although the problem is quite old and well studied, we believe that our consideration based on a uniform approach to constructing a correct quantum-mechanical description for systems with singular potentials and/or boundaries, proposed in our previous works, adds some new points to its solution. To demonstrate that a consideration of the Calogero problem requires mathematical accuracy, we discuss some `paradoxes` inherent in the `naive` quantum-mechanical treatment. Using a self-adjoint extension method, we construct and study all possible self-adjoint operators (self-adjoint Hamiltonians) associated with a formal differential expression for the Calogero Hamiltonian. In particular, we discuss a spontaneous scale-symmetry breaking associated with self-adjoint extensions. A complete spectral analysis of all self-adjoint Hamiltonians is presented.

Generation of nonground-state condensates and adiabatic paradox

The problem of resonant generation of nonground-state condensates is addressed aiming at resolving the seeming paradox that arises when one resorts to the adiabatic representation. In this picture, the eigenvalues and eigenfunctions of a time-dependent Gross-Pitaevskii Hamiltonian are also functions of time. Since the level energies vary in time, no definite transition frequency can be introduced. Hence no external modulation with a fixed frequency can be made resonant. Thus, the resonant generation of adiabatic coherent modes is impossible. However, this paradox occurs only in the frame of the adiabatic picture. It is shown that no paradox exists in the properly formulated diabatic representation. The resonant generation of diabatic coherent modes is a well defined phenomenon. As an example, the equations are derived, describing the generation of diabatic coherent modes by the combined resonant modulation of the trapping potential and atomic scattering length.

Structural Characterization of Rare-Earth Doped Yttrium Aluminoborate Laser Glasses Using Solid State NMR

The structure of laser glasses in the system (B(2)O(3))(0.6){(Al(2)O(3))(0.4-x)(Y(2)O(3))(x)} (0.1 <= x <= 0.25) has been investigated by means of (11)B, (27)Al, and (89)Y solid state NMR as well as Y-3d core-level X-ray photoelectron spectroscopy, (11)B magic-angle spinning (MAS) NMR spectra reveal that the majority of the boron atoms are three-coordinated, and a slight increase of four-coordinated boron content with increasing x can be noticed. (27)Al MAS NMR spectra show that the alumina species are present in the coordination states four, five and six. All of them are in intimate contact with both the three- and the four-coordinate boron species and vice versa, as indicated by (11)B/(27)Al rotational echo double resonance (REDOR) data. These results are consistent with the formation of a homogeneous, nonsegregated glass structure. For the first time, (89)Y solid state NMR has been used to probe the local environment of Y(3+) ions in a glass-forming system. The intrinsic sensitivity problem associated with (89)Y NMR has been overcome by combining the benefits of paramagnetic doping with those of signal accumulation via Carr-Purcell spin echo trains. Both the (89)Y chemical shifts and the Y-3d core level binding energies are found to be rather sensitive to the yttrium bonding state and reveal that the bonding properties of the yttrium atoms in these glasses are similar to those found in the model compounds YBO(3) and YAl(3)(BO(3))(4), Based on charge balance considerations as well as (11)B NMR line shape analyses, the dominant borate species are concluded to be meta- and pyroborate anions.

Towards a maximal extension of Pelczynski`s decomposition method in Banach spaces

l Suppose that X, Y. A and B are Banach spaces such that X is isomorphic to Y E) A and Y is isomorphic to X circle plus B. Are X and Y necessarily isomorphic? In this generality. the answer is no, as proved by W.T. Cowers in 1996. In the present paper, we provide a very simple necessary and sufficient condition on the 10-tuples (k, l, m, n. p, q, r, s, u, v) in N with p+q+u >= 3, r+s+v >= 3, uv >= 1, (p,q)$(0,0), (r,s)not equal(0,0) and u=1 or v=1 or (p. q) = (1, 0) or (r, s) = (0, 1), which guarantees that X is isomorphic to Y whenever these Banach spaces satisfy X(u) similar to X(p)circle plus Y(q), Y(u) similar to X(r)circle plus Y(s), and A(k) circle plus B(l) similar to A(m) circle plus B(n). Namely, delta = +/- 1 or lozenge not equal 0, gcd(lozenge, delta (p + q - u)) divides p + q - u and gcd(lozenge, delta(r + s - v)) divides r + s - v, where 3 = k - I - in + n is the characteristic number of the 4-tuple (k, l, m, n) and lozenge = (p - u)(s - v) - rq is the discriminant of the 6-tuple (p, q, r, s, U, v). We conjecture that this result is in some sense a maximal extension of the classical Pelczynski`s decomposition method in Banach spaces: the case (1, 0. 1, 0, 2. 0, 0, 2. 1. 1). (C) 2009 Elsevier Inc. All rights reserved.

Bjorling problem for timelike surfaces in the Lorentz-Minkowski space

We solve the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the split-complex numbers and natural split-holomorphic extensions. As applications, we show that the minimal timelike surfaces of revolution as well as minimal ruled timelike surfaces can be characterized as solutions of certain adequate Bjorling problems in the Lorentz-Minkowski space. (C) 2010 Elsevier Inc. All rights reserved.

On Approximate KKT Condition and its Extension to Continuous Variational Inequalities

In this work, we introduce a necessary sequential Approximate-Karush-Kuhn-Tucker (AKKT) condition for a point to be a solution of a continuous variational inequality, and we prove its relation with the Approximate Gradient Projection condition (AGP) of Garciga-Otero and Svaiter. We also prove that a slight variation of the AKKT condition is sufficient for a convex problem, either for variational inequalities or optimization. Sequential necessary conditions are more suitable to iterative methods than usual punctual conditions relying on constraint qualifications. The AKKT property holds at a solution independently of the fulfillment of a constraint qualification, but when a weak one holds, we can guarantee the validity of the KKT conditions.

Lanseringen och etableringen av ett socialt problem : En analys av debatten om ledarkulturen inom svensk landslagsgymnastik i Dagens Nyheter 2012–2013

The launching and establishment of a social problem: An analysis of the debate on Swedish national level gymnastics in Dagens Nyheter 2012-2013 In 2012 Sweden’s largest daily newspaper, Dagens Nyheter, published a number of articles on the state of affairs in Swedish national level gymnastics. In these articles, ex-gymnasts, coaches, parents and physicians stepped forward and testified about recurrent wrongdoings and abuse against young (particularly) female gymnasts. In response to the criticism, the accused coaches and representatives of the Swedish Gymnastics Federation downsized or dismissed the criticism as inaccurate. This being said, and using discursive psychology and a qualitative design, this article sheds light upon this debate – by viewing it as a struggle between a hegemonic discourse of ”the goodness” of sports, on the one hand, a number of unfavorable and negative testimonies of the state of affairs in Swedish national level gymnastics on the other. More concretely, this struggle has been analyzed with regard to the discursive and rhetoric resources the involved parties’ used to pursue their claims about the state of affairs in Swedish national level gymnastics and the impact these resources had for their credibility and legitimacy. Questions were: Who is entitled ”to spell out” their view on the state of affairs within Swedish national level gymnastics? What is mediated and how? How are descriptions and accounts about reality constructed as credible and factual? It is concluded that social problems are launched via co-production; in this process, the gymnastics community, the research community, single individuals, and the media – were co-actors. 

A Gradient-Type Method For Real-Time State Estimation Of Water Distribution Networks

Drinking water distribution networks risk exposure to malicious or accidental contamination. Several levels of responses are conceivable. One of them consists to install a sensor network to monitor the system on real time. Once a contamination has been detected, this is also important to take appropriate counter-measures. In the SMaRT-OnlineWDN project, this relies on modeling to predict both hydraulics and water quality. An online model use makes identification of the contaminant source and simulation of the contaminated area possible. The objective of this paper is to present SMaRT-OnlineWDN experience and research results for hydraulic state estimation with sampling frequency of few minutes. A least squares problem with bound constraints is formulated to adjust demand class coefficient to best fit the observed values at a given time. The criterion is a Huber function to limit the influence of outliers. A Tikhonov regularization is introduced for consideration of prior information on the parameter vector. Then the Levenberg-Marquardt algorithm is applied that use derivative information for limiting the number of iterations. Confidence intervals for the state prediction are also given. The results are presented and discussed on real networks in France and Germany.

Brazilian international and inter-state trade flows: an exploratory analysis using the gravity model

Recent efforts toward a world with freer trade, like WTO/GATT or regional Preferential Trade Agreements(PTAs), were put in doubt after McCallum's(1995) finding of a large border effect between US and Canadian provinces. Since then, there has been a great amount of research on this topic employing the gravity equation. This dissertation has two goals. The first goal is to review comprehensively the recent literature about the gravity equation, including its usages, econometric specifications, and the efforts to provide it with microeconomic foundations. The second goal is the estimation of the Brazilian border effect (or 'home-bias trade puzzle') using inter-state and international trade flow data. It is used a pooled cross-section Tobit model. The lowest border effect estimated was 15, which implies that Brazilian states trade among themselves 15 times more than they trade with foreign countries. Further research using industry disaggregated data is needed to qualify the estimated border effect with respect to which part of that effect can be attributed to actual trade costs and which part is the outcome of the endogenous location problem of the firm.

The state of the youth: prisons, drugs and car crashes

By virtue of the volume and nature of their attributions, including secondary school as well as problem-areas such as security and traffic, the Brazilian states are the ultimate responsible entities for young people. This study argues in favour of granting greater freedom for the states to define their own public policy parameters to deal with local features and to increase the degree of learning about such actions at the national level. In empirical terms, the study assesses the impacts of new laws, such as the new traffic code (from the joint work with Leandro Kume, EPGE/FGV doctor’s degree student) and traces the statistics for specific questions like drugs, violence and car accidents. The findings show that these questions produce different results for young men and women.The main characters in these dramas are young single males, suggesting the need for more distinguished public policies according not only to age, but also by gender. The study also reveals that the magnitude of these problems changes according to the youth’s social class. Prisons concern poorer men (except for the functional illiterate) while fatal car accidents and the confessed use of drugs concern upper-class boys.

Extreme poverty and development: the role of state in the assurance of minimal existence conditions

This paper follows the idea of Amartya Sen, Nobel Prize of economic, about the role of State in the assurance of minimal existence condition, and aim to answer how countries of Latin America (specifically Brazil) and countries of Europe (specifically United Kingdom) deal with the assurance of this minimal existence conditions. According to Amartya Sen’s view, development must be seen as a process of expanding substantive freedoms, such expansion being the primary purpose of each society and the main mean of development. Substantive freedoms can be considered as basic capabilities allocated to individuals whereby they are entitled to be architects of their own lives, providing them conditions to “live as they wish”. These basic capabilities are divided by Amartya Sen in 5 (five) kinds of substantive freedoms, but for this article’s purpose, we will consider just one of this 5 (five) kinds, specifically the Protective Safety capability. Protective Safety capability may be defined as the assurance of basic means of survival for individuals who are in extreme poverty, at risk of starvation or hypothermia, or even impending famine. Among the means available that could be used to avoid such situations are the possibility of supplemental income to the needy, distributing food and clothing to the needy, supply of energy and water, among others. But how countries deal whit this protective safety? Aiming to answer this question, we selected the problem of “fuel poverty” and how Brazil and United Kingdom solve it (if they solve), in order to assess how the solution found impacts development. The analysis and the comparison between these countries will allow an answer to the question proposed.

The use of software Mapavox for teaching graphics and games to blind and low vision students: a development through practices

Current policies on education to visually impaired point for a growing trend of including students with special educational needs in regular schools. However, most often this inclusion is not accompanied by an appropriate professional trained or infrastructure, which has been presented as a big problem for regular school teachers who have students with visual impairments in their classroom. Based on this situation, the Group of Extension in Tactile Cartography from UNESP - University of the State of São Paulo - Campus de Rio Claro - SP - Brazil has been developing educational material of geography and cartography to blind students at a special school. Among the materials developed in this study highlight the development of graphics and board games provided with sound capabilities through MAPAVOX, software developed in partnership with UFRJ - Federal University from Rio de Janeiro - RJ - Brazil. Through this software, sound capabilities can be inserted into built materials, giving them a multi-sensory character. In most cases the necessary conditions for building specific materials to students with visual impairments is expensive and beyond the reach of features from a regular school, so the survey sought to use easy access and low cost materials like Cork, leaf aluminum, material for fixing and others. The development of these materials was supported by preparation in laboratory and its subsequent test through practices involving blind students. The methodology used on the survey is based on qualitative research and non comparative analysis of the results. In other words, the material is built based on the special students perception and reality construction, not being mere adaptations of visual materials, but a construction focused on the reality of the visually impaired. The results proved were quite successful as the materials prepared were effective on mediating the learning process of students with disabilities. Geographical and cartographic concepts were seized by the students through the technology used, associated with the use of materials that took into account in its building process the perception of the students.

Reinternações psiquiátricas no Rio Grande do Norte: implicações e impacto das novas estratégias de atenção à saúde mental

The Brazilian Psychiatric Reform based on the desinstitucionalization of the assistance, translated to the emphasis on community/territorial treatment and in the social inclusion of the mental suffering, promoted advances in the psychiatric restructuring. In the Rio Grande do Norte (RN), we can enumerate as advances of the Brazilian Psychiatric Reform the expansion of the mental health care chain and the implementation of some strategies that, together, aims to further the psychosocial attention of the individual with psych suffering and to reduce the indices of psychiatrics readmissions in the state. In the current Brazilian‟s mental health situation we were interesting in answered the following question: what the impact of the substitutes services‟ extension in the revolving door phenomenon? This search aims to analyze the revolving door phenomenon occurrences based on the news strategies of mental health care in the Rio Grande do Norte. This is a descriptive-exploratory study with a qualitative approach, oriented by the theoretical framework of critical-dialectical approach about the Brazilian Psychiatric Reform and using the thematic oral history as method of information collects. The search was realized on the Hospital João Machado (HJM), estate reference in psychiatric treatment, and the participants was 20 professionals that work on it. The collection of information had started after the approval of the UFRN Research Ethics Committee with the opinion number 216/2011 and CAAE number 0021.0.051.000-11 and was realized using the direct observation and semi-structured interview. The study‟s results were categorized in two categories and five subcategories of analysis. CATEGORY 1) Current situation of the mental health care chain in the RN, with the subcategories: 1.1 Impact of the new services of mental health care in the revolving door phenomenon in the RN; 1.2 Implications of the new services of mental health care in assisting user to the HJM; 1.3 Issues the permeate the mental health care chain in the RN. CATEORY 2) Main causes of the revolving door phenomenon in HJM, with the categories: 2.1 Family problems; 2.2 Lack of assistance after discharge from psychiatric hospital. In summary, we conclude that the extension of the mental health care chain contributed for the reduction of the psychiatrics re-hospitalization‟s indices in RN. However, we realized that territorial services of mental health care are not the only responsible for the revolving door phenomenon. Factors as family problems and the disarticulation of the assistance after the discharge from hospital influence on the perpetuation of hospitalizations and re-hospitalizations in the local scenario. To study the revolving door phenomenon that occur in the psychiatrics‟ assistance considering the news strategies of mental health care allowed us to approach the advances and challenges brought by the RPb and by the desinstitucionatization in the state, indicating the need for further discussions and problem-solving strategies of psychosocial care.

Sandfly fauna in an area endemic for visceral leishmaniasis in Aracaju, State of Sergipe, Northeast Brazil

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)