REVISTA MEXICANA DE FÍSICA, year 63, issue 3, 2017.
Bimonthly Journal published by Sociedad Mexicana de Física, A. C.
eISSN: 2683-2224
We find the form of the refractive index such that a solution, S, of the eikonal equation yields an exact solution, exp(ik0S), of the corresponding Helmholtz equation
We perform an extension of the relation between the Nambu-Goto action and classical rebits. Of course, the Cayley hyperdeterminant is thekey mathematical tool in such generalization. Using the Wick rotation, we find that in four dimensions such a relation can be establishedno only with the signature (2+2) but also with any signature. We generalize our result to a curved space-time of (22n+22n)-dimensions and(22n+1+22n+1)-dimensions.
The data for elastically scattered charged pions from few nuclei, namely 16O, 28Si, 30Si, 32S, 34S, 40Ca, 43Ca, 56Fe, 58Ni, 64Ni and 90Zr have been analyzed by obtained potentials using a suggested scaling procedure. Originally the π± - 12C elastic scattering data at 50 MeVwas nicely fitted by a parameterized simple local optical potential extracted from available phase shifts using inverse scattering theory. The potential parameters of the π± - 12C systems were scaled to π± - 16O systems and then successively to other few systems covering the scattering of charged pions from target nuclei and isotopes, namely π± - 28Si, 30Si, π± - 32S, 34S, π± - 40Ca, 48Ca, π± - 56Fe, π± - 58Ni, 64Ni and π± - 90Zr. For all these systems, the obtained scaled potentials showed a remarkable success in explaining the available elastic scattering data at 50 MeV. For the first time, simple scaling relations are well established, and are used in explaining successfully the elastic differential and integral cross sections. This motivates using the scaling procedure to predict pion-nucleus potentials capable of explaining measured angular distributions for the scattering of charged pions off other target nuclei, and few isotopes, at energies in the low energy region.
This paper presents a review of the state of the art of methods with fractal geometry foundation that have been used to estimate the fractal dimension and/or Hurst exponent; as well as an analysis of their parameters, advantages and disadvantages. Subsequently an applications section is presented, where a results compilation of researches using these methods to analyze rainfall and temperature series' structure across the world is shown. Furthermore, a relationship analysis between the consulted researches results and climatic characteristics of the corresponding region is performed; showing that rainfall and temperature series´ Hurst exponent values can characterize average annual rainfall and average annual temperature. Finally, a global map displaying the location of the conducted researches is presented, where the higher concentration corresponds to Europe and Middle East. Rainfall and temperature series that display antipersistent behavior are registered near the equator line. However, a lot of research is needed in other regions of the world in order to obtain enough information to make inferences about rainfall and temperature series' structure.
Este artículo presenta una revisión del estado del arte de los métodos fundamentados en la geometría fractal que han sido utilizados para estimar la dimensión fractal y/o el exponente de Hurst; así como un análisis de sus parámetros de entrada, ventajas y desventajas. Posteriormente se presenta una sección de aplicaciones, en donde se realizó un compilado de los resultados de investigaciones que aplican los métodos anteriores para analizar la estructura de series de precipitación y temperatura en diversas regiones del planeta. Además, se analiza la relación entre los resultados de las investigaciones consultadas y las características climáticas de la región correspondiente; encontrando que el exponente de Hurst de precipitación y temperatura permite caracterizar la precipitación promedio anual y temperatura promedio anual. Finalmente, se presenta un mapa global de la localización de las investigaciones realizadas donde pueden apreciarse las mayores concentraciones de este tipo de investigación en Europa y Medio Oriente. Las series de precipitación y temperatura con comportamiento antipersistente se concentran cerca del Ecuador. Sin embargo, aún se requiere desarrollar investigaciones en diversas regiones del mundo para lograr obtener información suficiente que permitan realizar inferencias de la estructura de series de precipitación y temperatura.
Revista Mexicana de Física (Rev. Mex. Fis.) is a scientific journal published by Sociedad Mexicana de Física, A. C. Publishes original papers of interest to the physical science community. The fundamental purpose of the Revista Mexicana de Física is to publish the research work in physics carried out by the institutions of Mexico and Latin America.
Editor-in-chief: Ramón Castañeda Priego
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REVISTA MEXICANA DE FÍSICA, year 72, issue 3, May-June 2026. Scientific journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510, Ciudad de México. Apartado Postal 70-348. Tels. (+52)55 5622 4946, (+52) 5622 4848, https://rmf.smf.mx/ojs/, e-mail: rmf@ciencias.unam.mx. Chief Editor: Ramón Castañeda Priego. INDAUTOR Certificate of Reserve: 04-2021-102913424600-203, e-ISSN: 2683-2224, granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., 2o. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, C.P. 04510, Coyoacán, CDMX. Date of last modification, May 1st, 2026.
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