Extracting S-matrix poles for resonances from numerical scattering data: Type-II Pade reconstruction

We present a FORTRAN 77 code for evaluation of resonance pole positions and residues of a numerical scattering matrix element in the complex energy (CE) as well as in the complex angular momentum (CAM) planes. Analytical continuation of the S-matrix element is performed by constructing a type-II Pade approximant from given physical values (Bessis et al. (1994) [421: Vrinceanu et al. (2000) [24]; Sokolovski and Msezane (2004) [23]). The algorithm involves iterative 'preconditioning' of the numerical data by extracting its rapidly oscillating potential phase component. The code has the capability of adding non-analytical noise to the numerical data in order to select 'true' physical poles, investigate their stability and evaluate the accuracy of the reconstruction. It has an option of employing multiple-precision (MPFUN) package (Bailey (1993) [451) developed by D.H. Bailey wherever double precision calculations fail due to a large number of input partial waves (energies) involved. The code has been successfully tested on several models, as well as the F + H-2 -> HE + H, F + HD : HE + D, Cl + HCI CIH + Cl and H + D-2 -> HD + D reactions. Some detailed examples are given in the text.

Form Follows Media::What is The Matrix as Film, Animation, Game and Comics?

In the digital age, the hyperspace of virtual reality systems stands out as a new spatial notion creating a parallel world to the space we live in. In this alternative realm, the body transforms into a hyperbody, and begins to follow the white rabbit. Not only in real world but also in the Matrix world. The Matrix project of Andy and Larry Wachowski started with a feature film released in 1999. However, The Matrix is not only a film (trilogy). It is a concept, a universe that brings real space and hyperspace together. It is a world represented not only in science fiction films but also in The Animatrix that includes nine animated Matrix films directed by Peter Chung, Andy Jones, Yoshiaki Kawajiri and others, four of which are written by the Wachowskis. The same universe is used in Enter the Matrix, a digital game whose script was written and directed by the brothers and a comic book, The Matrix Comics, which includes twelve different stories by artists like Neil Gaiman and Goef Darrow. The Wachowskis played an active role in the creation and realization of all these “products” of different media. The comic book came last (November 2003), however it is possible to argue that everything came out of comics – the storyboards of the original film. After all the Wachowskis have a background in comics.

In this study, I will focus on the formal analysis of the science fiction world of The Matrix - as a representation of hyperspace - in different media, feature film, animated film, digital game and comic book, focusing on diverse forms of space that come into being as a result of medium differences. To unfold the different formal characters of film, animation, game and comics, concepts and features including framing, flattening, continuity, movement, montage, sound/text, light and color will be discussed. An analysis of these products will help to open up a discussion on the relation of form, media and representation.

Density Matrix Renormalization Group for Dummies

We describe the Density Matrix Renormalization Group algorithms for time dependent and time independent Hamiltonians. This paper is a brief but comprehensive introduction to the subject for anyone willing to enter in the field or write the program source code from scratch. An open source version of the code can be found at: http://www.dmrg.it.

L'Origine. Une lecture du poeme 'Radix, Matrix' de Paul Celan

This article presents a very close analysis of one poem by Paul Celan, demonstrating the important place of Jewish mysticism in his poetry and poetics.

UV VIS AND RESONANCE RAMAN SPECTROELECTROCHEMICAL PROPERTIES OF TRANSITION-METAL CENTERS IMMOBILIZED WITHIN A POLY(AMINO ACID) MATRIX - ILLUSTRATED WITH AN IRON PORPHYRIN

An iron prophyrin complex has been immobilized on the surfaces of platinum, silver, and indium doped-tin oxide coated glass by using the poly(gamma-ethyl L-glutamate)-N-(3-aminopropyl)imidazole derivative 1 as a linking agent, thus allowing-the surface-enhanced resonance Raman and UV-VIS absorption spectra and electrochemical properties of the porphyrin to be studied in solvents in which it is not normally soluble.

Ultra-fast spin dynamics in the 2s2p^2 configuration of C^+ studied by time-dependent R-matrix theory

We employ time-dependent R-matrix theory to study ultra-fast dynamics in the doublet 2s2p(2) configuration of C+ for a total magnetic quantum number M = 1. In contrast to the dynamics observed for M = 0, ultra-fast dynamics for M = 1 is governed by spin dynamics in which the 2s electron acts as a flag rather than a spectator electron. Under the assumption that m(S) = 1/2, m(2s) = 1/2 allows spin dynamics involving the two 2p electrons, whereas m(2s) = -1/2 prevents spin dynamics of the two 2p electrons. For a pump-probe pulse scheme with (h) over bar omega(pump) = 10.9 eV and (h) over bar omega(probe) = 16.3 eV and both pulses six cycles long, little sign of spin dynamics is observed in the total ionization probability. Signs of spin dynamics can be observed, however, in the ejected-electron momentum distributions. We demonstrate that the ejected-electron momentum distributions can be used for unaligned targets to separate the contributions of initial M = 0 and M = 1 levels. This would, in principle, allow unaligned target ions to be used to obtain information on the different dynamics in the 2s2p(2) configuration for the M = 0 and M = 1 levels from a single experime

Numerical study of the effects of reinforcement/matrix interphase on stress-strain behavior of YAl2 particle reinforced MgLiAl composites

For the potential influence produced by the reinforcement/matrix interphase in particle reinforced metal matrix composites (PMMCs), a unit cell model with transition interphase was proposed. Uniaxial tensile loading was simulated and the stress/strain behavior was predicted. The results show that a transition interphase with both appropriate strength and thickness could affect the failure mode, reduce the stress concentration, and enhance the maximum strain value of the composite.