State-to-state reaction probabilities within the quantum transition state framework

Rigorous quantum dynamics calculations of reaction rates and initial state-selected reaction probabilities of polyatomic reactions can be efficiently performed within the quantum transition state concept employing flux correlation functions and wave packet propagation utilizing the multi-configurational time-dependent Hartree approach. Here, analytical formulas and a numerical scheme extending this approach to the calculation of state-to-state reaction probabilities are presented. The formulas derived facilitate the use of three different dividing surfaces: two dividing surfaces located in the product and reactant asymptotic region facilitate full state resolution while a third dividing surface placed in the transition state region can be used to define an additional flux operator. The eigenstates of the corresponding thermal flux operator then correspond to vibrational states of the activated complex. Transforming these states to reactant and product coordinates and propagating them into the respective asymptotic region, the full scattering matrix can be obtained. To illustrate the new approach, test calculations study the D + H2(ν, j) → HD(ν′, j′) + H reaction for J = 0.

Globalization and the Symphony of the New (Post-modern) World: From Westphalia to Maastricht…passing by Washington DC

Taking on the challenge of understanding and explaining the Symphony of (today’s) New World in realistic terms (not realist), this essay aims to analyse the Post-Cold war era by devising a multi-conceptual framework that combines different theoretical contributions not yet linked in a fully explanatory way. This paper suggests two inter-related analytical contexts (or background melodies) to understand Dvorak´s "New World”. First, the socio-economic structural context that falls under the controversial category of Globalization and, second, the post-modern political structural context that is built on Robert Cooper’s threefold analysis (Pre-modern, Modern and Post-modern) of today’s world [Cooper, R: 1997, 1999]. Lastly, the closing movement (allegro con fuoco) enters the normative arena to assess American foreign policy options in the light of the theoretical framework devised in the first part of the essay.

Exact lower bounds to the ground-state energy of spin systems: The two-dimensional S=1/2 antiferromagnetic Heisenberg model

We present a very simple but fairly unknown method to obtain exact lower bounds to the ground-state energy of any Hamiltonian that can be partitioned into a sum of sub-Hamiltonians. The technique is applied, in particular, to the two-dimensional spin-1/2 antiferromagnetic Heisenberg model. Reasonably good results are easily obtained and the extension of the method to other systems is straightforward.

Electron energy loss spectroscopy: physical principles, state of the art and applications to the nanosciences

In the present work we review the way in which the electron-matter interaction allows us to perform electron energy loss spectroscopy (EELS), as well as the latest developments in the technique and some of the most relevant results of EELS as a characterization tool in nanoscience and nanotechnology.

The state's response to the Catalan question : an emerging ethnic component in contemporary Spanish nationalism?

Peer-reviewed

The state's response to the Catalan question : an emerging ethnic component in contemporary Spanish nationalism?

Peer-reviewed