Resonance modes in a 1D medium with two purely resistive boundaries: calculation methods, orthogonality and completeness

Studying the problem of wave propagation in media with resistive boundaries can be made by searching for "resonance modes" or free oscillations regimes. In the present article, a simple case is investigated, which allows one to enlighten the respective interest of different, classical methods, some of them being rather delicate. This case is the 1D propagation in a homogeneous medium having two purely resistive terminations, the calculation of the Green function being done without any approximation using three methods. The first one is the straightforward use of the closed-form solution in the frequency domain and the residue calculus. Then the method of separation of variables (space and time) leads to a solution depending on the initial conditions. The question of the orthogonality and completeness of the complex-valued resonance modes is investigated, leading to the expression of a particular scalar product. The last method is the expansion in biorthogonal modes in the frequency domain, the modes having eigenfrequencies depending on the frequency. Results of the three methods generalize or/and correct some results already existing in the literature, and exhibit the particular difficulty of the treatment of the constant mode

Symplectic areas, quantization, and dynamics in electromagnetic fields

A gauge invariant quantization in a closed integral form is developed over a linear phase space endowed with an inhomogeneous Faraday electromagnetic tensor. An analog of the Groenewold product formula (corresponding to Weyl ordering) is obtained via a membrane magnetic area, and extended to the product of N symbols. The problem of ordering in quantization is related to different configurations of membranes: a choice of configuration determines a phase factor that fixes the ordering and controls a symplectic groupoid structure on the secondary phase space. A gauge invariant solution of the quantum evolution problem for a charged particle in an electromagnetic field is represented in an exact continual form and in the semiclassical approximation via the area of dynamical membranes.Comment: 39 pages, 17 figure

Heisenberg Evolution WKB and Symplectic Area Phases

The Schrodinger and Heisenberg evolution operators are represented in quantum phase space by their Weyl symbols. Their semiclassical approximations are constructed in the short and long time regimes. For both evolution problems, the WKB representation is purely geometrical: the amplitudes are functions of a Poisson bracket and the phase is the symplectic area of a region in phase space bounded by trajectories and chords. A unified approach to the Schrodinger and Heisenberg semiclassical evolutions is developed by introducing an extended phase space. In this setting Maslov's pseudodifferential operator version of WKB analysis applies and represents these two problems via a common higher dimensional Schrodinger evolution, but with different extended Hamiltonians. The evolution of a Lagrangian manifold in the extended phase space, defined by initial data, controls the phase, amplitude and caustic behavior. The symplectic area phases arise as a solution of a boundary condition problem. Various applications and examples are considered.Comment: 32 pages, 7 figure

Banking Concentration and Financial Stability. New Evidence from Developed and Developing Countries

In this paper, we analyze the relationship between banking concentration and financial stability for a sample of 156 developed and developing countries during the period 1980-2011. Our study first examines the direct effect of banking concentration on financial stability. The results provide evidence that concentration does not directly affect the stability of the financial system. The study also investigates two indirect channels and finds that concentration has a positive and stabilizing impact on financial stability through the profitability channel and a negative and destabilizing impact through the interest rate channel. When considering the level of development across countries, our results support the existence of a stabilizing effect of concentration on financial stability and the absence of a destabilizing interest channel for developing countries. Interestingly, our results also indicate that concentration has a direct and indirect effect on financial stability during crisis periods, but no direct effect on financial stability during normal periods.Scopu

Women with HIV(Aids) Medicine, religion and family in the fight against the disease.

Made available in DSpace on 2016-07-27T13:46:38Z (GMT). No. of bitstreams: 1 RAIMUNDO NONATO LEITE PINTO.pdf: 1764998 bytes, checksum: 264874a29d191c4beedf7ddb38719166 (MD5) Previous issue date: 2015-03-31Infection by HIV-Aids is a major global public health problem, with strong impact in developing countries like Brazil. Recently, we have observed a feminization of the epidemic. This fact led to the development of this research, having women with HIV-AIDS as an object of study object. The main objectives of this research were to present the situation of the epidemic in the world, in Brazil and in Goiás; establish the relationship between medicine and religion, including the sight of women with HIV; highlight the feelings of patients because they are carriers of a virus with lethal characteristics; state the importance of religion in confronting these challenges posed by the disease; and, finally, relate to the role of the family in the fight against HIV-AIDS. The survey was conducted using a questionnaire as an instrument that was applied exclusively by the researcher in 30 patients infected by the virus and proven in medical follow-up in the Hospital of Tropical Diseases in Goiania-HDT-HAA or infectious diseases CLIMIPI, specializing in treatment of infectious diseases, both in Goiânia. The answers were recorded and subsequently transcribed in written text. The answers were systematized, displayed on tables and subsequently analyzed. All religious expressions mentioned are included in Christianity. 14 women interviewed declared themselves Evangelical, Catholic 11 and kardecist spiritists 5. The HIV virus was the infectious agent most studied in the history of medicine, which allowed great advances in the diagnosis and treatment of the disease, although there is still no available available. The relationship of religion and medicine has existed since antiquity, oncea main task of religion was the spiritual and physical healing of people. For Laplantine (2004), the advancement of science brought a temporary disruption of this relationship, turning to find right after the reduction of the impact of secularization. The studied patients recognize the importance of this relationship and showed categorically that enjoy and appreciate both the medical expertise as the manifestation of the religious phenomenon in confronting the infection. The most expressive feelings expressed by the patients when asked about their feeling when they heard the word HIV or AIDS were: fear, prejudice, sexuality. The prejudice of non contaminated people proved to be more important than the fear of death by disease. Already the challenge caused by the strong guard sexuality relationship with sexual taboos, and the Church itself singled out as responsible for most of them. The patients reconized the importance of religion in the resolution of these problems, although some contradiction in dogmas with strong prejudice of sexuality arose. As for the role of the family, the reports are from families that support, but also those which do not support. In which support is clear demonstration of the importance in combating the disease evolution.A infecção pelo vírus HIV-Aids representa um importante problema de Saúde Pública mundial com forte impacto em países em desenvolvimento como o Brasil. Recentemente, temos observado uma feminização da epidemia. Esse fato motivou o desenvolvimento da presente pesquisa, tendo como objeto de estudo mulheres com HIV-AIDS. Os objetivos principais da pesquisa foram apresentar a situação da epidemia no mundo, no Brasil e em Goiás; estabelecer a relação entre a medicina e a religião, inclusive na visão das mulheres soropositivas; destacar os sentimentos das pacientes por se encontrarem portadoras de um vírus com características letais; a importância da religião no enfrentamento desses desafios impostos pela doença; e, por fim, relacionar o papel da instituição família no combate ao HIV-AIDS. A pesquisa foi realizada utilizando-se um questionário aplicado exclusivamente pelo pesquisador em 30 pacientes comprovadamente contaminadas pelo vírus e em acompanhamento médico no Hospital de Doenças Tropicais de Goiânia - HDT-HAA ou na CLIMIPI Infectologia, especializada em tratamento de doenças infecciosas, ambos na cidade de Goiânia. As respostas foram gravadas, transcritas em texto escrito, sistematizadas, algumas delas distribuídas em tabelas e, posteriormente, analisadas. Todas as expressões religiosas mencionadas estão incluídas no Cristianismo. 14 mulheres entrevistadas se declararam evangélicas, 11 católicas e 5 espíritas kardecista. O vírus HIV foi o agente infeccioso mais estudado na história da medicina, o que possibilitou grande avanço no diagnóstico e tratamento da doença, embora ainda não se disponha da cura. A relação da religião com a medicina existe desde a antiguidade, já que uma das atribuições da religião era a cura espiritual e física das pessoas. Para Laplantine (2004), com o avanço da Ciência houve um rompimento provisório dessa relação, voltando-se a encontrar logo após a redução do impacto da secularização. As pacientes estudadas reconhecem a importância dessa relação e demonstraram categoricamente que apreciam e valorizam tanto os conhecimentos médicos quanto a manifestação do fenômeno religioso no enfrentamento da infecção. Os sentimentos mais expressivos manifestados pelas pacientes ao serem perguntadas o que sentiam ao ouvirem a palavra HIV ou AIDS foram: medo, preconceito, sexualidade. O preconceito das pessoas não contaminadas demonstrou-se ser mais importante que o medo de morrer pela doença. Já o desafio provocado pela sexualidade guarda forte relação com os tabus sexuais, sendo a própria Igreja apontada como responsável por boa parte deles. As pacientes deixaram patente a importância da Religião na resolução desses problemas, apesar de alguma contradição em dogmas com forte preconceito da sexualidade. Quanto ao papel da família, os relatos são de famílias que apoiam, mas também das que não apoiam. Nas que apoiam é evidente a manifestação da importância no combate à evolução da doença