El problema de la causalidad en las ciencias económicas

[ES] En el presente artículo se aborda el problema de la causalidad en las Ciencias Económicas. Partiendo de la diferenciación entre ciencias duras y blandas, y de la supuesta clasificicación de la economía en este segundo grupo, se realiza un análisis de los diferentes paradigmas ontológicos que soportan la investigación científica, para a continuación trasladar la causalidad desde el ámbito ontológico al gnoseológico. Posteriormente se profundiza en la conjunción de la metodología hipotético-deductiva con el método correlacional, generando una causalidad probabilística. Dicha causalidad, contextualizada de forma científica, permite la realización y contrastación de inferencias predictivas, a través de las cuales las Ciencias Ecnómicas pueden encontrar su ubicación en los niveles mas extrictos de la investigación científica.

Quantum simulations of relativistic quantum physics in circuit QED

We present a scheme for simulating relativistic quantum physics in circuit quantum electrodynamics. By using three classical microwave drives, we show that a superconducting qubit strongly coupled to a resonator field mode can be used to simulate the dynamics of the Dirac equation and Klein paradox in all regimes. Using the same setup we also propose the implementation of the Foldy-Wouthuysen canonical transformation, after which the time derivative of the position operator becomes a constant of the motion.

Relativistic force between fast electrons and planar targets

The full retarded electromagnetic force experienced by swift electrons moving parallel to planar boundaries is revisited, for both metallic and dielectric targets, with special emphasis on the consequences in electron microscopy experiments. The focus is placed on the sign of the transverse force experienced by the electron beam as a function of the impact parameter. For point probes, the force is found to be always attractive. The contribution of the induced magnetic field and the causality requirements of the target dielectric response, given by the Kramers-Kronig (K-K) relations, prove to be crucial issues at small impact parameters. For spatially extended probes, repulsive forces are predicted for close trajectories, in agreement with previous works. The force experienced by the target is also explored, with the finding that in insulators, the momentum associated to Cherenkov radiation (CR) is relevant at large impact parameters.

Bessel functions and equations of mathematical physics

The aim of this dissertation is to introduce Bessel functions to the reader, as well as studying some of their properties. Moreover, the final goal of this document is to present the most well- known applications of Bessel functions in physics.