Modelling quantum black holes

Física Teórica, Atómica y Óptic

One-Dimensional Scattering of Fermions on δ-Impurities

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Field Fluctuations and Casimir Energy of 1D-Fermions

Producción CientíficaWe investigate the self-adjoint extensions of the Dirac operator of a massive one-dimensional field of mass m confined in a finite filament of length L. We compute the spectrum of vacuum fluctuations of the Dirac field under the most general dispersionless boundary conditions. We identify its edge states in the mass gap within a set of values of the boundary parameters, and compute the Casimir energy of the discrete normal modes. Two limit cases are considered, namely, that of light fermions with mL 1, and that of heavy fermions for which mL 1. It is found that both positive and negative energies are obtained for different sets of values of the boundary parameters. As a consequence of our calculation we demonstrate that the sign of the quantum vacuum energy is not fixed for exchange-symmetric plates (parity-invariant configurations), unlike for electromagnetic and scalar fields.Ministerio de Economía, Industria y Competitividad (grant MTM2014-57129-C2-1-P)Junta de Castilla y León - Fondo Europeo de Desarrollo Regional (grants VA057U16 and BU229P18)Junta de Castilla y León (grant VA137G18

Dipole-dipole interaction in cavity QED: The weak-coupling, nondegenerate regime

Física Teórica. Atómica y Óptic

Two-point one-dimensional δ-δ’ interactions: non-abelian addition law and decoupling limit

In this contribution to the study of one-dimensional point potentials, we prove that if we take the limit $q\to 0$ on a potential of the type ${v}_{0}\delta (y)+2{v}_{1}{\delta }^{\prime }(y)+{w}_{0}\delta (y-q)+2{w}_{1}{\delta }^{\prime }(y-q),$ we obtain a new point potential of the type ${u}_{0}\delta (y)+2{u}_{1}{\delta }^{\prime }(y),$ when u0 and u1 are related to v0, v1, w0 and w1 by a law with the structure of a group. This is the Borel subgroup of ${{SL}}_{2}({\mathbb{R}}).$ We also obtain the non-abelian addition law from the scattering data. The spectra of the Hamiltonian in the decoupling cases emerging in the study are also described in full. It is shown that for the ${v}_{1}=\pm 1,\;$ ${w}_{1}=\pm 1$ values of the ${\delta }^{\prime }$ couplings the singular Kurasov matrices become equivalent to Dirichlet at one side of the point interaction and Robin boundary conditions at the other side.Física Teórica, Atómica y ÓpticaMinisterio de Economía, Industria y Competitividad (Project MTM2014-57129-C2-1-P)Junta de Castilla y León (programa de apoyo a proyectos de investigación – Ref. UIC 011

Un modelo de formación económico-social periférico en la banda atlántica de Cádiz

Exponemos un balance sobre la Edad del Bronce en San Fernando. Analizamos las bases arqueológicas para el estudio de las sociedades de mediados del II° milenio a.C. Se trata de comunidades periféricas, que habitan un medio insular, donde aprovechan recursos naturales, fundamentalmente malacológicos, pero que generan una importante agricultura, existiendo una clara relación de dependencia respecto a un centro nuclear ubicado en las campiñas interiores.We show a summary about Bronze Age in the island of San Fernando. Archaeological basis are analyzed to study the societies of the midle of the second millennium B.C. They are peripheric communities who live in the island, where they use natural resources, fundamentally molluscs, which generate an important agriculture, so there is a clear relation of dependence with regard to a nuclear center in the interior contryside

Datación absoluta por termoluminiscencia de material cerámico y carbonatos procedentes del yacimiento arqueológico de la Cueva de Benzú (Ceuta).

Capítulo del libro: Avances en Arqueometría 2003. Se muestran los resultados y la metodología empleada para el análisis de los restos cerámicos hallados en el yacimiento de Benzú