Separation equations for 2D superintegrable systems on constant curvature spaces

Second-order conformal quantum superintegrable systems in two dimensions are Laplace equations on a manifold with an added scalar potential and three independent 2nd order conformal symmetry operators. They encode all the information about 2D Helmholtz or time-independent Schrödinger superintegrable systems in an efficient manner: each of these systems admits a quadratic symmetry algebra (not usually a Lie algebra) and is multiseparable. We study the separation equations for the systems as a family rather than separate cases. We show that the separation equations comprise all of the various types of hypergeometric and Heun equations in full generality. In particular, they yield all of the 1D Schrödinger exactly solvable (ES) and quasi-exactly solvable (QES) systems related to the Heun operator. We focus on complex constant curvature spaces and show explicitly that there are eight pairs of Laplace separation types and these types account for all separable coordinates on the 20 flat space and 9 2-sphere Helmholtz superintegrable systems, including those for the constant potential case. The different systems are related by Stäckel transforms, by the symmetry algebras and by Böcher contractions of the conformal algebra so(4, C) to itself, which enables all systems to be derived from a single one: the generic potential on the complex 2-sphere. This approach facilitates a unified view of special function theory, incorporating hypergeometric and Heun functions in full generality

Textiloma que se presenta como una masa abdominal: presentación de un caso y revisión bibliográfica

El “textiloma” es un término usado para describir aquel material formado por una matriz de algodón que es dejada involuntariamente en alguna cavidad durante la cirugía, y las reacciones secundarias a su presencia en el cuerpo, este término tiene distintos sinónimos, los más conocidos son: gossypiboma, corpus allienum, oblitoma y gasa o textil retenido. La sintomatología es inespecífica y puede simular diversos padecimientos dependiendo de la región que se encuentre comprometida y el tiempo que transcurra desde el procedimiento quirúrgico.Textiloma o gossypiboma es el término acuñado para describir una masa compuesta por una matriz de algodón que es olvidado en una cavidad, posterior a una intervención quirúrgica. Se calcula una incidencia aproximada de 1 de cada 100 a 5,000 cirugías. Sin embargo, debido a los problemas médico-legales que puede ocasionar, es reportado en menor frecuencia. Los síntomas suelen ser poco específicos y el diagnóstico se basa en estudios de imagen. El tratamiento más adecuado es la intervención quirúrgica para su remoción. El término “textiloma” se refiere a un cuerpo de tela dejado involuntariamente en el paciente durante la cirugía y a las reacciones secundarias que perpetúan su presencia en el cuerpo. La sospecha clínica es de suma importancia para el correcto diagnóstico de esta entidad. Presentamos el caso de un masculino de 53 años de edad, con antecedente de colecistectomía abierta hace 9 años por cuadro agudo de colecistitis. Inicia su padecimiento con dolor abdominal en epigastrio tipo cólico, agravándose con dolor en hipocondrio e incapacidad para canalizar gases, además de intolerancia a la vía oral. Se encontró paciente orientado, mal estado de hidratación, peristalsis disminuida, dolor a la palpación en hipocondrio derecho con masa en el mismo. Laboratorio sin anormalidades, se le realizaron estudios de gabinete reportando una imagen sugestiva de un textiloma, se le realiza laparotomía exploratoria la cual reveló tumor con cápsula fibrosa adherido al colon e hígado. El reporte histopatológico fue compatible con cuerpo extraño. El paciente evolucionó satisfactoriamente

TIPS AND TRICKS FOR CHARACTERIZING SHAPE MEMORY ALLOY WIRE: PART 4 – THERMO-MECHANICAL COUPLING

Disclaimer: The full description of the procedures used in this paper requires the identification of a certain commercial equipment. The inclusion of such information should in no way be construed as indicating that such a product is endorsed or recommended by NIST or that it is necessarily the best for the purposes described. Editor's Note: This ET feature series is intended as an introduction to this exciting area of experimental mechanics. It aims to increase awareness of active materials and to promote their consistent characterization by disseminating best practices from leading researchers in the field. Each article in the series will address the characterization of one commercially significant active material. Series editors: Nilesh D. Mankame and Paul W. Alexander.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/79294/1/j.1747-1567.2010.00619.x.pd

A QCD Sum Rule Approach to the s→dγs\to d\gamma Contribution to the Ω−→Ξ−γ\Omega^-\to \Xi^-\gamma Radiative Decay

QCD sum rules are used to calculate the contribution of short-distance single-quark transition $s\rightarrow d \gamma$, to the amplitudes of the hyperon radiative decay, $\Omega^-\rightarrow \Xi^-\gamma$. We re-evaluate the Wilson coefficient of the effective operator responsible for this transition. We obtain a branching ratio which is comparable to the unitarity limit.Comment: 15 pages, Revtex, 13 figures available as a uuencoded, gz-compressed ps fil

Analysis of the influence of the plasma thermodynamic regime in the spectrally resolved and mean radiative opacity calculations of carbon plasmas in a wide range of density and temperature

In this work the spectrally resolved, multigroup and mean radiative opacities of carbon plasmas are calculated for a wide range of plasma conditions which cover situations where corona, local thermodynamic and non-local thermodynamic equilibrium regimes are found. An analysis of the influence of the thermodynamic regime on these magnitudes is also carried out by means of comparisons of the results obtained from collisional-radiative, corona or Saha–Boltzmann equations. All the calculations presented in this work were performed using ABAKO/RAPCAL code

Experimental data in support of characterization of the CePO4 dispersion into transparent PMMA/PU IPNs by the sequential route

© 2018 This article is focused on the complementary data referring to the article “Dispersion of upconverting nanostructures of CePO4 using rod and semi-spherical morphologies into transparent PMMA/PU IPNs by the sequential route”. It contains the XPS data of CePO4 photographs and DSC thermograms of transparent PMMA/PU IPNs as well as with CePO4 dispersed in different wt.%, Confocal laser scanning micrographs, transmission electron microscopy (TEM), optical images of surface, and visual inspection (photographs) before and after aging of hybrid materials

Dispersion of upconverting nanostructures of CePO4 using rod and semi-spherical morphologies into transparent PMMA/PU IPNs by the sequential route

Upconverting luminescent poly (methylmethacrylate) (PMMA)/poly (urethane) (PU) interpenetrating polymer network (IPN) nanohybrids were prepared using a sequential polymerisation incorporating different wt.% of cerium phosphate (CePO 4 ) nanoparticles. The effect of miscibility/compatibility of the different PMMA/PU ratios, the addition and dispersion of rod and semi-spherical nanostructures in as well as the performance of selected IPNs under accelerated aging were studied using morphological, emission, thermal and mechanical studies. Structural studies revealed that there were physical interactions between C[dbnd]O groups and CePO 4 in PMMA/PU IPNs. The addition of a higher wt.% of nanostructures was found to decrease the transparency of the IPNs. Resulting PMMA/PU/CePO 4 IPN nanohybrids are photoluminescent under UV-light, supporting the prolongate of lifetime while maintaining the mechanical properties after being subjected to accelerated weathering. The addition of semi-spherical particles resulted in a more stable materials after accelerated weathering than nanorods