Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty

We analyze the quantum dynamics of the non-relativistic two-dimensional isotropic harmonic oscillator in Heisenberg's picture. Such a system is taken as toy model to analyze some of the various quantum theories that can be built from the application of Dirac's quantization rule to the various symplectic structures recently reported for this classical system. It is pointed out that that these quantum theories are inequivalent in the sense that the mean values for the operators (observables) associated with the same physical classical observable do not agree with each other. The inequivalence does not arise from ambiguities in the ordering of operators but from the fact of having several symplectic structures defined with respect to the same set of coordinates. It is also shown that the uncertainty relations between the fundamental observables depend on the particular quantum theory chosen. It is important to emphasize that these (somehow paradoxical) results emerge from the combination of two paradigms: Dirac's quantization rule and the usual Copenhagen interpretation of quantum mechanics.Comment: 8 pages, LaTex file, no figures. Accepted for publication in Phys. Rev.

Del distrito industrial al distrito rural: implicaciones teóricas para el desarrollo territorial

As opposed to the traditional Marshallian Industrial District, the Rural District becomes a new concept for territorial development thanks to the qualitative changes of population occurring since 1970 in developed countries and since 1980 in Spain and Castilla-La Mancha. The urban areas are decreasing in importance and the urban hierarchy and center-periphery relations evolved into less hierarchic and multipolar relations. Rural-rural movements occurred in rural environments, from minor cores to region cores and/or higher populated cores as a reproduction of a center-periphery model at rural territorial level.Rural district, social-scale economy, ISTAT methodology, population hedonic models, Agricultural and Food Policy, Land Economics/Use, C01, J11, R00,

ARM-Cortex M3-Based Two-Wheel Robot for Assessing Grid Cell Model of Medial Entorhinal Cortex: Progress towards Building Robots with Biologically Inspired Navigation-Cognitive Maps

This article presents the implementation and use of a two-wheel autonomous robot and its effectiveness as a tool for studying the recently discovered use of grid cells as part of mammalian’s brains space-mapping circuitry (specifically the medial entorhinal cortex). A proposed discrete-time algorithm that emulates the medial entorhinal cortex is programed into the robot. The robot freely explores a limited laboratory area in the manner of a rat or mouse and reports information to a PC, thus enabling research without the use of live individuals. Position coordinate neural maps are achieved as mathematically predicted although for a reduced number of implemented neurons (i.e., 200 neurons). However, this type of computational embedded system (robot’s microcontroller) is found to be insufficient for simulating huge numbers of neurons in real time (as in the medial entorhinal cortex). It is considered that the results of this work provide an insight into achieving an enhanced embedded systems design for emulating and understanding mathematical neural network models to be used as biologically inspired navigation system for robots

Self-consistent dynamics of impurities in magnetically confined plasmas: turbulence intermittency and nondiffusive transport

Self-consistent turbulent transport of high-concentration impurities in magnetically confined fusion plasmas is studied using a three-dimensional nonlinear fluid global turbulence model which includes ion-temperature gradient and trapped electron mode instabilities. It is shown that the impurity concentration can have a dramatic feedback in the turbulence and, as a result, it can significantly change the transport properties of the plasma. High concentration impurities can trigger strong intermittency that manifests in non-Gaussian heavy tails of the probability density functions of the E × B fluctuations and of the ion-temperature flux fluctuations. At the heart of this self-consistent coupling is the existence of inward propagating ion-temperature fronts with a sharp gradient at the leading edge that give rise to instabilities and avalanchelike bursty transport. Numerical evidence of time nonlocality (i.e., history dependence) in the delayed response of the flux to the gradient is presented.Postprint (published version

Second and Third Harmonic Generation in Metal-Based Nanostructures

We present a new theoretical approach to the study of second and third harmonic generation from metallic nanostructures and nanocavities filled with a nonlinear material, in the ultrashort pulse regime. We model the metal as a two-component medium, using the hydrodynamic model to describe free electrons, and Lorentz oscillators to account for core electron contributions to both the linear dielectric constant and to harmonic generation. The active nonlinear medium that may fill a metallic nanocavity, or be positioned between metallic layers in a stack, is also modeled using Lorentz oscillators and surface phenomena due to symmetry breaking are taken into account. We study the effects of incident TE- and TM-polarized fields and show that a simple re-examination of the basic equations reveals additional exploitable dynamical features of nonlinear frequency conversion in plasmonic nanostructures.Comment: 33 pages, including 11 figures and 74 references; corrected affiliations and some typo

National Study of United States Emergency Department Visits for Acute Pancreatitis, 1993–2003

Background: The epidemiology of acute pancreatitis in the United States is largely unknown, particularly episodes that lead to an emergency department (ED) visit. We sought to address this gap and describe ED practice patterns. Methods: Data were collected from the National Hospital Ambulatory Medical Care Survey between 1993 and 2003. We examined demographic factors and ED management including medication administration, diagnostic imaging, and disposition. Results: ED visits for acute pancreatitis increased over the study period from the 1994 low of 128,000 visits to a 2003 peak of 318,000 visits (p = 0.01). The corresponding ED visit rate per 10,000 U.S. population also increased from 4.9 visits (95%CI, 3.1–6.7) to 10.9 (95%CI, 7.6–14.3) (p = 0.01). The average age for patients making ED visits for acute pancreatitis during the study period was 49.7 years, 54% were male, and 27% were black. The ED visit rate was higher among blacks (14.7; 95%CI, 11.9–17.5) than whites (5.8; 95%CI, 5.0–6.6). At 42% of ED visits, patients did not receive analgesics. At 10% of ED visits patients underwent CT or MRI imaging, and at 13% of visits they underwent ultrasound testing. Two-thirds of ED visits resulted in hospitalization. Risk factors for hospitalization were older age (multivariate odds ratio for each increasing decade 1.5; 95%CI, 1.3–1.8) and white race (multivariate odds ratio 2.3; 95%CI, 1.2–4.6). Conclusion: ED visits for acute pancreatitis are rising in the U.S., and ED visit rates are higher among blacks than whites. At many visits analgesics are not administered, and diagnostic imaging is rare. There was greater likelihood of admission among whites than blacks. The observed race disparities in ED visit and admission rates merit further study

Ingesta de macronutrientes y prevalencia de malnutrición por exceso en escolares de 5o y 6o básico de distinto nivel socioeconómico de la región metropolitana

Obesity in childhood has become an important publie health problem in Chile. Objetive: to study macronutrient intake and nutritional status in school-age children attending5th andóth grade inprimary schoolsfrom different socioeconomic status located in 6 counties in Santiago, Chile. Methods: A total of 1,732 children between 9 and 12 years oldjrom both sexes were studied. Anthropometric evaluation included weight, height, and tricipital and subescapular thickness. Macronutrient intake was determined using a 24-hours recall survey. Socioeconomic status was estimated using the ESOMAR survey. Results: In this sample overweight and obesity prevalence reached 40%. Prevalence was higher in boys and in the lower socio-economic groups. A higher consumption ofproteins andfat wasfound in the wealthier groups, while a higher intake of carbohydrates was present in the poorer ones. Comparison with the daily recommended allowancesfound that both males andfemales hada 75% ofadequacy of all ofmacronutrients with the exception offiber. Conclusión: The study revealeda highprevalence ofmalnutrition in both sexes with a better nutrition standard among children in higher socioeconomic status.El sobrepeso y la obesidad infantil se han transformado en un importante problema en salud pública. Objetivo: evaluar la ingesta de macronutrientes y determinar la prevalencia de malnutrición en escolares de 5° y 6o año básico de distintos niveles socioeconómicos de 6 comunas de la Región Metropolitana. Sujetos y método: se evaluaron 1732 niños de ambos sexos de 9 a 12 años de edad. La evaluación antropométrica incluyo peso, talla, pliegue tricipital y subescapular. La ingesta de macronutrientes se evaluó mediante la aplicación de una encuesta recordatorio de 24 hrs; el nivel socioeconómico se evaluó mediante la aplicación la encuesta ESOMAR. Resultados: la prevalencia de malnutrición por exceso fue de 40%, siendo más importante en hombres de los estratos socioeconómicos de menores ingresos. Encontramos un mayor consumo de proteínas y grasas totales en el nivel socioeconómico más alto, mientras que el nivel de menores ingresos tuvo una mayor ingesta de carbohidratos. Tanto hombres como mujeres presentaron una adecuación superior al 75% en todos los macronutrientes con excepción de la fibra. Conclusión: El estudio arrojó una elevada prevalencia de malnutrición por exceso en ambos sexos con un mejor patrón de alimentación en los niños de nivel socioeconómico alto