Determinación de estructuras cristalinas en España : inicios, desarrollo y consolidación (1912-1955)

El treball ofereix una visió de conjunt de la recerca duta a terme a Espanya en determinació d’estructures cristal•lines, des dels seus inicis fins 1955, data en la què assoliren un cert grau de consolidació. La perspectiva historiogràfica seguida pretén establir un equilibri entre el tractament de les qüestions tècniques i les relatives a l’organització dels diferents equips de recerca, sense oblidar el context econòmic i polític en que van tenir lloc.

Connections between ∞-Poincaré inequality, quasi-convexity, and N1,∞

"Vegeu el resum a l'inici del document del fitxer adjunt."

Luces y sombras de dos paradigmas del americanismo español en la renovación del diálogo hispanoamericano (1909-1912)

Entre 1909 y 1911, el hispanoamericanismo español experimentó una renovación impulsada por iniciativas de la Universidad de Oviedo y la Casa de América de Barcelona. Ambas entidades, lideradas por Rafael Altamira y Rafael Vehils, lograron conformar dos paradigmas alternativos para la acción americanista. El primero definió una pauta de intervención fundamentalmente intelectual liderada por las universidades; el segundo, un modelo de intervención prioritariamente económico, ejecutado por asociaciones. Ambos paradigmas mostraron su carácter innovador al brindar propuestas concretas sobre casi todos los aspectos de la acción americanista y al proponer fórmulas que equilibren los intereses regionales y estatales.

The groups of Poincaré and Galilei in arbitrary dimensional spaces

In arbitrary dimensional spaces the Lie algebra of the Poincaré group is seen to be a subalgebra of the complex Galilei algebra, while the Galilei algebra is a subalgebra of Poincar algebra. The usual contraction of the Poincar to the Galilei group is seen to be equivalent to a certain coordinate transformation.

Poincaré is a subgroup of Galilei in one space dimension more

Through an imaginary change of coordinates, the ordinary Poincar algebra is shown to be a subalgebra of the Galilei one in four space dimensions. Through a subsequent contraction the remaining Lie generators are eliminated in a natural way. An application of these results to connect Galilean and relativistic field equations is discussed.

Poincar-Cartan integral invariant and canonical transformation for singular lagrangians

In this work we develop the canonical formalism for constrained systems with a finite number of degrees of freedom by making use of the PoincarCartan integral invariant method. A set of variables suitable for the reduction to the physical ones can be obtained by means of a canonical transformation. From the invariance of the PoincarCartan integral under canonical transformations we get the form of the equations of motion for the physical variables of the system.

Poincar wave equations as Fourier transformations of Galilei wave equations

The relationship between the Poincar and Galilei groups allows us to write the Poincar wave equations for arbitrary spin as a Fourier transform of the Galilean ones. The relation between the Lagrangian formulation for both cases is also studied.

Poincar-Cartan intregral invariant and canonical trasformation for singular Lagrangians: an addendum

The results of a previous work, concerning a method for performing the canonical formalism for constrained systems, are extended when the canonical transformation proposed in that paper is explicitly time dependent.

Realizations of Poincar group induced by second order differential systems. Non interaction theorem

A generalization of the predictive relativistic mechanics is studied where the initial conditions are taken on a general hypersurface of M4. The induced realizations of the Poincar group are obtained. The same procedure is used for the Galileo group. Noninteraction theorems are derived for both groups.