Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States

The first step toward the application of an effective non partial wave (PW) numerical approach to few-body atomic bound states has been taken. The two-body transition amplitude which appears in the kernel of three-dimensional Faddeev-Yakubovsky integral equations is calculated as function of two-body Jacobi momentum vectors, i.e. as a function of the magnitude of initial and final momentum vectors and the angle between them. For numerical calculation the realistic interatomic interactions HFDHE2, HFD-B, LM2M2 and TTY are used. The angular and momentum dependence of the fully off-shell transition amplitude is studied at negative energies. It has been numerically shown that, similar to the nuclear case, the transition amplitude exhibits a characteristic angular behavior in the vicinity of He-4 dimer pole.

SMALLEST UNIVERSE OF NEGATIVE CURVATURE

The smallest known three-dimensional closed manifold of curvature k = -1 was discovered a few years ago by Weeks. This kind of manifold is constructed from a hyperbolic polyhedron with faces pair-wise identified. Here it is used as the comoving spatial section of a Friedmann cosmological model, in the spirit of Ellis and Schreiber's idea of small universes. Its nontrivial global topology has the effect of producing multiple images of single cosmic sources, and this is the basis of an attempt to solve a famous controversy about the redshifts of quasars.

Numerical study of low-cost alternative orbits around the Moon

In this paper, we have investigated a region of direct stable orbits around the Moon, whose stability is related to the H2 Family of periodic orbits and to the quasi-periodic orbits that oscillate around them. The stability criteria adopted was that the path did not escape from the Moon during an integration period of 1000 days (remaining with negative two-body Moon-probe orbital energy during this period). Considering the three-dimensional four-body Sun-Earth-Moon-probe problem, we investigated the evolution of the size of the stability region, taking into account the eccentricity of the Earth's orbit, the eccentricity and inclination of the Moon's orbit, and the solar radiation pressure on the probe. We also investigated the evolution of the region's size and its location by varying the inclination of the probe's initial osculating orbit relative to the Moon's orbital plane between 0 degrees and 180 degrees. The size of the stability region diminishes; nevertheless, it remains significant for 0 <= i <= 25 degrees and 35 degrees <= i <= 45 degrees. The orbits of this region could be useful for missions by space vehicles that must remain in orbit around the Moon for periods of up to 1000 days, requiring low maintenance costs. (c) 2005 COSPAR. Published by Elsevier Ltd. All rights reserved.

Suppression of Anderson localization of light in one-dimensional disordered photonic superlattices

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

One-dimensional analytical model for oxide thin film growth on Ti metal layers during laser heating in air

This paper presents the theoretical and experimental results for oxide thin film growth on titanium films previously deposited over glass substrate. Ti films of thickness 0.1 μm were heated by Nd:YAG laser pulses in air. The oxide tracks were created by moving the samples with a constant speed of 2 mm/s, under the laser action. The micro-topographic analysis of the tracks was performed by a microprofiler. The results taken along a straight line perpendicular to the track axis revealed a Gaussian profile that closely matches the laser's spatial mode profile, indicating the effectiveness of the surface temperature gradient on the film's growth process. The sample's micro-Raman spectra showed two strong bands at 447 and 612 cm -1 associated with the TiO 2 structure. This is a strong indication that thermo-oxidation reactions took place at the Ti film surface that reached an estimated temperature of 1160 K just due to the action of the first pulse. The results obtained from the numerical integration of the analytical equation which describes the oxidation rate (Wagner equation) are in agreement with the experimental data for film thickness in the high laser intensity region. This shows the partial accuracy of the one-dimensional model adopted for describing the film growth rate. © 2001 Elsevier Science B.V.

Economic Survey of Latin America and the Caribbean 2010-2011: Internacional integration and macroeconomic policy challenges amid global economic turmoil

Includes bibliography

Active labor market programs for the integration of youths and immigrants into the labor market: the Nordic experience

Incluye Bibliografía

The dimensional regularization in light front

We use dimensional regularization (DR) to evaluate a one-loop four-point function to order g2 in a scalar φ4 model using the light-front coordinates and performing the light-front energy variable integration in the first place. The DR in the light-front is applied to the D - 2 transverse variables. We show the equivalence of the result thus obtained with the standard DR applied to D dimensions. © 2013 American Institute of Physics.

Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings

We consider a family of two-dimensional nonlinear area-preserving mappings that generalize the Chirikov standard map and model a variety of periodically forced systems. The action variable diffuses in increments whose phase is controlled by a negative power of the action and hence effectively uncorrelated for small actions, leading to a chaotic sea in phase space. For larger values of the action the phase space is mixed and contains a family of elliptic islands centered on periodic orbits and invariant Kolmogorov-Arnold-Moser (KAM) curves. The transport of particles along the phase space is considered by starting an ensemble of particles with a very low action and letting them evolve in the phase until they reach a certain height h. For chaotic orbits below the periodic islands, the survival probability for the particles to reach h is characterized by an exponential function, well modeled by the solution of the diffusion equation. On the other hand, when h reaches the position of periodic islands, the diffusion slows markedly. We show that the diffusion coefficient is scaling invariant with respect to the control parameter of the mapping when h reaches the position of the lowest KAM island. © 2013 American Physical Society.

The Netherlands Antilles: trade and integration with CARICOM

Introduction The Netherlands Antilles is an autonomous entity within the Kingdom of the Netherlands and comprises a federation of five Caribbean islands: Bonaire and Curacao (the Leeward islands) which comprise 80 per cent of the population of 211,000 and Saba, St. Eustatius and the southern part of St. Maarten (the Windward islands). Like the other countries in the Kingdom, it enjoys full autonomy in internal matters as, for example, education, public health, justice and customs. It has a per capita income of about US$ 12,000. The Leeward Islands and the Windward Islands account for about 75 per cent (Curacao (70 per cent) and Bonaire (5 per cent)) and 25 percent respectively of the economy of the Netherlands Antilles. The Netherlands Antilles has its own currency, the Netherlands guilder, which is pegged to the United States dollar at a fixed rate since 1971. The economy has some unique features that stem from its close relations with the Netherlands, its undiversified nature and heavy dependence on tourism, offshore finance, oil refining and shipping, the high share of trade (exports of goods and services of about 75 per cent of GDP), its geographical characteristics, its common border with the French Republic on St. Maarten, its duty-free access for imports from Aruba, its de facto free trade zone (FTZ), partial dollarization, especially for the Windward Islands, and its highly regulated labor market (1). Adverse economic shocks in the last two decades affected particularly the offshore financial sector and the oil refinery and, to a lesser extent, tourism. The repeal of withholding taxes in the United States in the 1980s indirectly caused the collapse of a number of highly profitable offshore financial activities in Curacao, leading to significant drops in government revenue and contributions to foreign exchange earnings. The withdrawal of Shell from Curacao in 1986 and the (temporary) closure of the oil refinery which had been a mainstay of the Curacao economy for almost three quarters of a century was the second major shock. It was subsequently leased to the Venezuelan State Company, Petroleos de Venezuela Sociedad Anonima (PDVSA), which resumed operations and preserved employment. In the 1990s, the Windward Islands were bit by several devastating hurricanes, which destroyed much of the economic infrastructure on the islands, including about half of the number of available hotel rooms in St Maarten. Further negative shocks were related to the discontinuation of certain trade privileges on European markets for Overseas Countries and Territories (OCTs), the withdrawal by the Netherlands of certain tax privileges for Dutch pensioners residing in the Netherlands Antilles and disruptions in the availability of Solidarity Fund resources for the smaller islands. National income has been on the decline since 1997. GDP declined by about 6 per cent between 1997 and 1999. Underlying fiscal imbalances and structural weaknesses have also impacted negatively on the economy. In recent years, with recession high unemployment and migration have been experienced (2). The Netherlands Antilles has been able to survive thanks to additional aid from the Netherlands, large-scale spontaneous emigration (mostly to the Netherlands), some drop in international reserves, an increase in domestic debt and arrears and reduced outlays for the maintenance of public assets. From 1986 onwards, successive efforts at restoring macroeconomic balance, particularly with regard to public finance, were made, but were unsuccessful. Adjustment was also attempted in 1996 and 1997, but failed to meet the desired targets. In 1999, the government launched a new National Recovery Plan" (NRP). The NRP contains important medium-term structural adjustment measures aimed at restoring macroeconomic balance and conditions for revitalizing the economy. The NRP subsequently served as an important input into a comprehensive adjustment plan drawn up with the assistance of the International Monetary Fund (IMF) and reflected in the government's Memorandum of Economic Policies dated 15 September 2000. Beyond restoring macroeconomic balance and reforming the economic incentive framework, the government aims at establishing a Comprehensive Development Framework (CDF) for the formulation and implementation of a sustainable long-term growth strategy. It is against the above background that this study is undertaken. Its main objective is to assess the integration options facing the Netherlands Antilles (3) vis-a-vis the Caribbean Community (CARICOM). A secondary objective is to examine the above taking into account, inter alia, the level of trade between the Netherlands Antilles and CARICOM, the barriers to trade between the two groups of countries and the requirements for increasing trade between the two groups of countries. The Consultant was given an initial Draft Terms of Reference (Annex 1) with the intention of modifying it in the course of the interviews with all the stakeholders. The main idea that emerged from these interviews was a concern with some possible form of association with CARICOM. The Consultant was asked to exam the costs and benefits of various forms of association and to recommend an option. This adjustment of the Terms of Reference (TOR) was substantial and involved the Consultant having to do some interviews and collect documentation in CARICOM. The study essentially revolves around the search for a road map for the Netherlands Antilles. It is tackled in the first instance by describing the existing system of trade of the Netherlands Antilles with a view to determining the import and export structures and the specific nature and extent of trade in goods and services between the Netherlands Antilles and CARICOM. 1 Netherlands Antilles: Elements of a Strategy for Economic Recovery and Sustainable Growth. Interim Report of the World Bank Mission, 5-20 December 2000. 2 IMF, IMF Country Report No. 01/73 Kingdom of the Netherlands-Netherlands Antilles-Recent Development, Selected Issues and Statistical Appendix. May 2001 3 The Netherlands Antilles is a country within the Kingdom of the Netherlands. It contains five islands. Curacao and Bonaire (Leewards) and St Eustatius, Saba and St Maarten (The Windwards)"

Multi-dimensional Review of Uruguay. Volume 1: initial assessment

Includes bibliography.

Modelling the surface circulation and thermal structure of a tropical reservoir using three-dimensional hydrodynamic lake model and remote-sensing data

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Three dimensional Lifshitz black hole and the Korteweg-de Vries equation

We consider a solution of three dimensional New Massive Gravity with a negative cosmological constant and use the AdS/CTF correspondence to inquire about the equivalent two dimensional model at the boundary. We conclude that there should be a close relation of the theory with the Korteweg-de Vries equation. (C) 2012 Elsevier B.V..All rights reserved.

One-dimensional point interaction with Griffiths' boundary conditions

Griffiths proposed a pair of boundary conditions that define a point interaction in one dimensional quantum mechanics. The conditions involve the nth derivative of the wave function where n is a non-negative integer. We re-examine the interaction so defined and explicitly confirm that it is self-adjoint for any even value of n and for n = 1. The interaction is not self-adjoint for odd n > 1. We then propose a similar but different pair of boundary conditions with the nth derivative of the wave function such that the ensuing point interaction is self-adjoint for any value of n.

Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence

We deal with homogeneous isotropic turbulence and use the two-point velocity correlation tensor field (parametrized by the time variable t) of the velocity fluctuations to equip an affine space K3 of the correlation vectors by a family of metrics. It was shown in Grebenev and Oberlack (J Nonlinear Math Phys 18:109–120, 2011) that a special form of this tensor field generates the so-called semi-reducible pseudo-Riemannian metrics ds2(t) in K3. This construction presents the template for embedding the couple (K3, ds2(t)) into the Euclidean space R3 with the standard metric. This allows to introduce into the consideration the function of length between the fluid particles, and the accompanying important problem to address is to find out which transformations leave the statistic of length to be invariant that presents a basic interest of the paper. Also we classify the geometry of the particles configuration at least locally for a positive Gaussian curvature of this configuration and comment the case of a negative Gaussian curvature.