The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras

We address two problems with the structure and representation theory of finite W-algebras associated with general linear Lie algebras. Finite W-algebras can be defined using either Kostant`s Whittaker modules or a quantum Hamiltonian reduction. Our first main result is a proof of the Gelfand-Kirillov conjecture for the skew fields of fractions of finite W-algebras. The second main result is a parameterization of finite families of irreducible Gelfand-Tsetlin modules using Gelfand-Tsetlin subalgebra. As a corollary, we obtain a complete classification of generic irreducible Gelfand-Tsetlin modules for finite W-algebras. (C) 2009 Elsevier Inc. All rights reserved.

Reservoir Management For Flood And Drought Protection Using Infinite Horizon Model Predictive Control

Model Predictive Control (MPC) is a control method that solves in real time an optimal control problem over a finite horizon. The finiteness of the horizon is both the reason of MPC's success and its main limitation. In operational water resources management, MPC has been in fact successfully employed for controlling systems with a relatively short memory, such as canals, where the horizon length is not an issue. For reservoirs, which have generally a longer memory, MPC applications are presently limited to short term management only. Short term reservoir management can be effectively used to deal with fast process, such as floods, but it is not capable of looking sufficiently ahead to handle long term issues, such as drought. To overcome this limitation, we propose an Infinite Horizon MPC (IH-MPC) solution that is particularly suitable for reservoir management. We propose to structure the input signal by use of orthogonal basis functions, therefore reducing the optimization argument to a finite number of variables, and making the control problem solvable in a reasonable time. We applied this solution for the management of the Manantali Reservoir. Manantali is a yearly reservoir located in Mali, on the Senegal river, affecting water systems of Mali, Senegal, and Mauritania. The long term horizon offered by IH-MPC is necessary to deal with the strongly seasonal climate of the region.

Terceirização versus integração vertical: teoria e prática

As mudanças significativas em termos de lógica do processo produtivo, as novas tecnologias e as alterações nas condições de competitividade abriram espaço para que a terceirização fosse alçada na condição de solucionadora de quase todas as questões estratégicas das empresas. A terceirização apresenta-se como uma possibilidade infinitamente mais adequada para uma série de situações enfrentada pelas empresas, mas não pode ser tratada como um novo dogma, visto que os dogmas, tanto os velhos como os novos, não conseguem mais dar respostas satisfatórias à efetiva prática empresarial moderna. A pesquisa pretende fazer uma análise conceitual dos principais fatores vinculados à integração e à terceirização - analisando os fatores propulsores, os restritivos, as condições alavancadoras - e um levantamento das empresas sediadas no Brasil que fizeram uso, nos últimos anos, dessas estratégias.

As repercussões dos serviços hospitalares em diferentes contextos: uma análise de profissionais de saúde

This study has as general object: to verify as the health professionals that work in different hospitals evaluate the hospital services; and specific objectives: identify how health professionals evaluate the work conditions in different hospitals and verify the central nucleus and the peripheral elements of the social representations elaborated by these professionals about these institution. This is a descriptive study realized in Natal, capital of Rio Grande do Norte. Were collected 213 questionnaires. Concerning the evaluation of the health services, high averages had been verified in the philanthropic hospital, for example, quality of the customer service. At the state hospital was observed lowest ones: respect to the privacy of the patients. Similar results were found about work conditions. It was observed as central nucleus the categories Overcrowded and Humanized care, in the state and philanthropic hospital respectively, and as peripheral elements Low wages and Overcrowded. Being thus the conflicts in this scene are inevitable because of the poor structure of some public hospitals, however, these problems can be foresee and solvable if the hospital has a free expression channel accessible to all agents. The evaluation has to become integrant part of the culture of the organization, a time that this will guide the steps in direction to the best quality in the hospital assistance

Position-dependent effective mass Dirac equations with PT-symmetric and non-PT-symmetric potentials

We present a new procedure to construct the one-dimensional non-Hermitian imaginary potential with a real energy spectrum in the context of the position-dependent effective mass Dirac equation with the vector-coupling scheme in 1 + 1 dimensions. In the first example, we consider a case for which the mass distribution combines linear and inversely linear forms, the Dirac problem with a PT-symmetric potential is mapped into the exactly solvable Schrodinger-like equation problem with the isotonic oscillator by using the local scaling of the wavefunction. In the second example, we take a mass distribution with smooth step shape, the Dirac problem with a non-PT-symmetric imaginary potential is mapped into the exactly solvable Schrodinger-like equation problem with the Rosen-Morse potential. The real relativistic energy levels and corresponding wavefunctions for the bound states are obtained in terms of the supersymmetric quantum mechanics approach and the function analysis method.

Bounded solutions of fermions in the background of mixed vector-scalar Poeschl-Teller-like potentials

The problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise to an exactly solvable effective modified Poschl-Teller potential in the Sturm-Liouville problem, bound-state solutions are found. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The Dirac delta potential as a limit of the modified Poschl-Teller potential is also discussed. The problem is also shown to be mapped into that of massless fermions subject to classical topological scalar and pseudoscalar potentials. Copyright (C) EPLA, 2007.

Dirac equation exact solutions for generalized asymmetrical Hartmann potentials

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided the vector potential is equal to or minus the scalar potential. The cases of some quasi-exactly solvable and Morse-like potentials are briefly commented. (c) 2006 Elsevier B.V. All rights reserved.

Trapping neutral fermions with kink-like potentials

The intrinsically relativistic problem of neutral fermions subject to kink-like potentials (similar to tanh gamma x) is investigated and the exact bound-state solutions are found. Apart from the lonely hump solutions for E = +/- mc(2), the problem is mapped into the exactly solvable Sturm-Liouville problem with a modified Poschl-Teller potential. An apparent paradox concerning the uncertainty principle is solved by resorting to the concepts of effective mass and effective Compton wavelength. (c) 2005 Elsevier B.V. All rights reserved.

Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass

We present a new method to construct the exactly solvable PT-symmetric potentials within the framework of the position-dependent effective mass Dirac equation with the vector potential coupling scheme in 1 + 1 dimensions. In order to illustrate the procedure, we produce three PT-symmetric potentials as examples, which are PT-symmetric harmonic oscillator-like potential, PT-symmetric potential with the form of a linear potential plus an inversely linear potential, and PT-symmetric kink-like potential, respectively. The real relativistic energy levels and corresponding spinor components for the bound states are obtained by using the basic concepts of the supersymmetric quantum mechanics formalism and function analysis method. (C) 2007 Elsevier B.V. All rights reserved.

Continuously deformable topological structure

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A Bilevel Approach to Transmission Expansion Planning Within a Market Environment

We present a bilevel model for transmission expansion planning within a market environment, where producers and consumers trade freely electric energy through a pool. The target of the transmission planner, modeled through the upper-level problem, is to minimize network investment cost while facilitating energy trading. This upper-level problem is constrained by a collection of lower-level market clearing problems representing pool trading, and whose individual objective functions correspond to social welfare. Using the duality theory the proposed bilevel model is recast as a mixed-integer linear programming problem, which is solvable using branch-and-cut solvers. Detailed results from an illustrative example and a case study are presented and discussed. Finally, some relevant conclusions are drawn.

Consenso em reumatologia pediátrica: parte I - definição dos critérios de doença inativa e remissão em artrite idiopática juvenil/artrite reumatóide juvenil

Não há critérios universalmente aceitos para a remissão clínica em artrite idiopática juvenil/artrite reumatóide juvenil (AIJ/ARJ). OBJETIVO: formar consenso sobre estes critérios. MÉTODOS: foi utilizado um inquérito pelo método Delphi para reunir os critérios vigentes e utilizados por especialistas em reumatologia pediátrica (RP) no mundo todo. A análise dos resultados constituiu a base para uma Consensus Conference utilizando a nominal group technique (NGT) para alcançar o consenso nas questões não resolvidas após a análise dos questionários deste inquérito. Cento e trinta RP de 34 países responderam ao inquérito e 20 RP de nove países elegeram os critérios durante dois dias, em processo de discussão estruturada, para formar consenso pela NGT. RESULTADOS: os critérios de doença inativa deveriam incluir: 1) nenhuma articulação com artrite em atividade; 2) ausência de febre, rash, serosite, esplenomegalia ou linfadenopatia generalizada atribuída à AIJ/ARJ; 3) ausência de uveíte em atividade; 4) VHS ou PCR negativas (se ambos forem testados, ambos devem ser normais); 5) a avaliação global pelo médico deve indicar o melhor escore possível, indicando doença inativa. CONCLUSÕES: de acordo com o voto de consenso, seis meses contínuos de doença inativa são necessários para se considerar um paciente em estado de remissão com medicação; 12 meses contínuos de doença inativa e sem medicação são necessários para considerar um paciente em estado de remissão sem medicação. O critério para remissão sem medicação deve prever com acurácia de 95% a probabilidade inferior a 20% de recaída em cinco anos.

General structures of Hamiltonian hierarchies

Three dimensional exactly solvable quantum potentials for which an extra term of form 1/r(2) has been added are shown to maintain their functional form which allows the construction of the Hamiltonian hierarchy and the determination of the spectra of eigenvalues and eigenfunctions within the Supersymmetric Quantum Mechanics formalism. For the specific cases of the harmonic oscillator and the Coulomb potentials, known as pseudo-harmonic oscillator and pseudo-Coulomb potentials, it is shown here that the inclusion of the new term corresponds to rescaling the angular momentum and it is responsible for maintaining their exact solvability.

Classification of states in S0(8) proton-neutron pairing model

lsoscalar (T = 0) plus isovector (T = 1) pairing Hamiltonian in LS-coupling. which is important for heavy N = Z nuclei, is solvable in terms of a SO(8) Lie algebra for three special values of the mixing parameter that measures the competition between the T = 0 aid T = 1 pairing. The SO(8) algebra is generated, amongst others, by the S = 1, T = 0 and S = 0, T = 1 pair creation and annihilation operators and corresponding to the three values of the mixing parameter, there are three chains of subalgebras: SO(8) superset of SOST (6) superset of SOS(3) circle times SOT(3), SO(8) superset of [SOS(5) superset of SOS(3)] circle times SOT(3) and SO(8) superset of [SOT(5) superset of SOT(3)] circle times SOS(3). Shell model Lie algebras, with only particle number conserving generators, that are complementary to these three chains of subalgebras are identified and they are used in the classification of states for a given number of nucleons. The classification problem is solved explicitly tor states with SO(8) seniority nu = 0, 1, 2, 3 and 4. Using them, hand structures in isospin space are identified for states with nu = 0, 1, 2 and 3. (c) 2005 Elsevier B.V. All rights reserved.

On the solutions of the position-dependent effective mass Schrodinger equation of a nonlinear oscillator related with the isotonic oscillator

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)