On the r-matrix structure of the hyperbolic BC(n) Sutherland model

Working in a symplectic reduction framework, we construct a dynamical r-matrix for the classical hyperbolic BC(n) Sutherland model with three independent coupling constants. We also examine the Lax representation of the dynamics and its equivalence with the Hamiltonian equation of motion.Comment: 20 page

Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies governed by the same R-operators as the Calogero-Moser ones?

We demonstrate that in a certain gauge the Lax matrices of the rational and hyperbolic Ruijsenaars--Schneider models have a quadratic $r$-matrix Poisson bracket which is an exact quadratization of the linear $r$--matrix Poisson bracket of the Calogero--Moser models. This phenomenon is explained by a geometric derivation of Lax equations for arbitrary flows of both hierarchies, which turn out to be governed by the same dynamical $R$--operator.Comment: LaTeX, 18pp, a revised versio

On the scattering theory of the classical hyperbolic C(n) Sutherland model

In this paper we study the scattering theory of the classical hyperbolic Sutherland model associated with the C(n) root system. We prove that for any values of the coupling constants the scattering map has a factorized form. As a byproduct of our analysis, we propose a Lax matrix for the rational C(n) Ruijsenaars-Schneider-van Diejen model with two independent coupling constants, thereby setting the stage to establish the duality between the hyperbolic C(n) Sutherland and the rational C(n) Ruijsenaars-Schneider-van Diejen models.Comment: 15 page

Demographic, socio-economic and environmental determinants of utilisation of antenatal care in a rural setting of Sindh, Pakistan

Objective: Majority of the women in the developing countries are unable receive antenatal care for a variety of reasons. This study determines the factors affecting utilisation of antenatal care by women of a rural area in Sindh, Pakistan.Methods: A cross-sectional study was conducted during August 1997, in Union Council Jhangara, Sindh, Pakistan. Married women, who had delivered at least one child, were included in the study from each household and systematically 222 eligible women were selected. The effects of demographic, socio-economic and environmental factors on the utilisation of antenatal care, by women during their most recent pregnancy were also studied. Multivariate logistic regression analysis was used to assess independent effect of individual factors.Results: Among the study subjects, 29.3% (65) of the women utilised antenatal care during the last (most recent) pregnancy and out of them 72.3% (47) received it from the government health care provider. Presence of electricity in the house was strongly associated with the utilisation of antenatal care (AOR = 5.3; 95% CI 2.2-12.7). Women whose husbands were in white-collar occupation, were utilizing the antenatal care significantly more (AOR = 2.4; 95% CI 1.2-4.6) compared to women whose husbands were in blue-collar occupations.CONCLUSION: The study shows that social status and economic condition of a woman is an important determinant of utilisation of antenatal care. Therefore, improvement of socioeconomic status is required to increase utilization of antenatal and perinatal care

Data-Informed Platform for Health. Structured district decision-making using local data. Prototype Phase, West Bengal, India

This report presents findings and recommendations from an evaluation of the Data Informed Platform for Health (DIPH), a structured decision-support strategy to promote the use of local data for health decision-making. The DIPH was developed and pilot-tested in India by the IDEAS project of the London School of Hygiene & Tropical Medicine (LSHTM) from December 2015 to March 2017

Structures in BC_N Ruijsenaars-Schneider models

We construct the classical r-matrix structure for the Lax formulation of BC_N Ruijsenaars-Schneider systems proposed in hep-th 0006004. The r-matrix structure takes a quadratic form similar to the A_N Ruijsenaars-Schneider Poisson bracket behavior, although the dynamical dependence is more complicated. Commuting Hamiltonians stemming from the BC_N Ruijsenaars-Schneider Lax matrix are shown to be linear combinations of particular Koornwinder-van Diejen ``external fields'' Ruijsenaars-Schneider models, for specific values of the exponential one-body couplings. Uniqueness of such commuting Hamiltonians is established once the first of them and the general analytic structure are given.Comment: 18 pages, gzip latex fil

Diffusion coulombienne multiple a haute énergie dans l'emulsion nucléaire

L'étude de la diffusion coulombienne multiple à haute énergie et à grandes longueurs de cellule pose le problème de la validité du facteur de diffusion K introduit de manière théorique par Voyvodic et Pickup. Les émulsions nucléaires K 5, exposées à des faisceaux de muons de haute énergie (6 GeV et 12 GeV) constituent un matériel de choix pour une telle étude. Nous avons ainsi pu déterminer expérimentalement la valeur de K pour des cellules de 1 mm à 15 mm et compléter des résultats encore parcellaires. Dans ce travail, nous étudions également plusieurs méthodes de mesure par diffusion coulombienne multiple

Spin chains from dynamical quadratic algebras

We present a construction of integrable quantum spin chains where local spin-spin interactions are weighted by ``position''-dependent potential containing abelian non-local spin dependance. This construction applies to the previously defined three general quadratic reflection-type algebras: respectively non-dynamical, semidynamical, fully dynamical.Comment: 12 pages, no figures; v2: corrected formulas of the last sectio

R-matrix Quantization of the Elliptic Ruijsenaars--Schneider model

It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle over the centrally extended current group in two dimensions. It is governed by two dynamical r and $\bar{r}$-matrices satisfying a closed system of equations. The corresponding quantum R and $\overline{R}$-matrices are found as solutions to quantum analogs of these equations. We present the quantum L-operator algebra and show that the system of equations on R and $\overline{R}$ arises as the compatibility condition for this algebra. It turns out that the R-matrix is twist-equivalent to the Felder elliptic R^F-matrix with $\overline{R}$ playing the role of the twist. The simplest representation of the quantum L-operator algebra corresponding to the elliptic Ruijsenaars-Schneider model is obtained. The connection of the quantum L-operator algebra to the fundamental relation RLL=LLR with Belavin's elliptic R matrix is established. As a byproduct of our construction, we find a new N-parameter elliptic solution to the classical Yang-Baxter equation.Comment: latex, 29 pages, some misprints are corrected and the meromorphic version of the quantum L-operator algebra is discusse

Community Based Newborn Care in Ethiopia: Executive Summary for the Quality of CBNC programme assessment Midline Evaluation Report

Report from IDEA