A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons

We introduce a general Hamiltonian describing coherent superpositions of Cooper pairs and condensed molecular bosons. For particular choices of the coupling parameters, the model is integrable. One integrable manifold, as well as the Bethe ansatz solution, was found by Dukelsky et al. [J. Dukelsky, G.G. Dussel, C. Esebbag, S. Pittel, Phys. Rev. Lett. 93 (2004) 050403]. Here we show that there is a second integrable manifold, established using the boundary quantum inverse scattering method. In this manner we obtain the exact solution by means of the algebraic Bethe ansatz. In the case where the Cooper pair energies are degenerate we examine the relationship between the spectrum of these integrable Hamiltonians and the quasi-exactly solvable spectrum of particular Schrodinger operators. For the solution we derive here the potential of the Schrodinger operator is given in terms of hyperbolic functions. For the solution derived by Dukelsky et al., loc. cit. the potential is sextic and the wavefunctions obey PT-symmetric boundary conditions. This latter case provides a novel example of an integrable Hermitian Hamiltonian acting on a Fock space whose states map into a Hilbert space of PE-symmetric wavefunctions defined on a contour in the complex plane. (c) 2006 Elsevier B.V. All rights reserved.

Ein Ansatz zur methoden- und werkzeuggestützten Anforderungs- und Systemspezifikation auf der Grundlage objektorientierter Modellierungs- und Simulationstechniken

Vorgestellt wird ein Ansatz zur objektorientierten Modellierung, Simulation und Animation von Informationssystemen. Es wird ein Vorgehensmodell dargestellt, mit dem unter Verwendung des beschriebenen Ansatzes Anforderungs- oder Systemspezifikationen von Rechnergestützten Informationssystemen erstellt werden können. Der Ansatz basiert auf einem Metamodell zur Beschreibung Rechnergestützter Informationssysteme und verfügt über eine rechnergestützte Modellierungsumgebung. Anhand eines Projektes zur Entwicklung einer Anforderungsspezifikation für ein rechnergestütztes Pflegedokumentations- und -kommunikationssystems wird der Einsatz der Methode beispielhaft illustriert.

Causal structure of the entanglement renormalization ansatz

We show that the multiscale entanglement renormalization ansatz (MERA) can be reformulated in terms of a causality constraint on discrete quantum dynamics. This causal structure is that of de Sitter space with a flat space-like boundary, where the volume of a spacetime region corresponds to the number of variational parameters it contains. This result clarifies the nature of the ansatz, and suggests a generalization to quantum field theory. It also constitutes an independent justification of the connection between MERA and hyperbolic geometry which was proposed as a concrete implementation of the AdS-CFT correspondence.

Doing difference – Die Reflexion auf Unterscheidungen als Ansatz Politischer Erwachsenenbildung

Ein Verständnis von Demokratie als „stets im Kommen oder im Werden“ schließt fort- und immerwährende Verhandlungsprozesse mit ein. Das Ausbleiben von Konflikten oder die Versuche des Einebnens und Nivellierens von Widersprüchen oder gar deren Negation sind dann Indizien der Gefährdung von Demokratisierung und gesamtgesellschaftlicher Entwicklungsmöglichkeiten. Der vorliegende Beitrag betont die Bedeutung von Widerständigkeit für Demokratisierung. Der vorgestellte Ansatz der Reflexion auf Unterscheidungen - un/doing difference - verabschiedet die stillschweigende Vorstellung, dass es vorab feststehende und gegebene Individuen oder Gruppen mit bestimmten Eigenschaften gibt, an die unterschiedliche Angebote und Interventionen gerichtet werden können. Es ist eine differenzsensible Herangehensweise, die latente Unterschiede aufgreift und ihnen im Handeln - im Sinne von Ungleichheiten - Bedeutung verleiht. Den Abschluss des Beitrages bilden vier Strategien im Kontext politischer Bildungsarbeit, um Pluralität und Kontingenz sichtbar zu machen: Pluralisierung und Konkurrenz ermöglichen; Löschung durch Nichtbeachten; ironische Entlarvung von Selbstverständlichkeitsannahmen; eingeführte Kategorien stehen lassen und zugleich Alternativen fördern. (DIPF/Orig.)

Der Anti-Bias-Ansatz als Methode politischer Erwachsenenbildung

Vorurteile, Macht und Diskriminierung sind die zentralen Themen des Anti-Bias-Ansatzes, der Diskriminierung auf zwischenmenschlicher, struktureller und gesellschaftlich-kultureller Ebene berücksichtigt. Die eigene Verwobenheit in Machtverhältnisse und damit verbundene Erfahrungen von Diskriminierung und Privilegierung sind dabei der Ausgangspunkt des Lernens. Vision ist eine vorurteilsbewusste, diskriminierungskritische und machtsensible Gesellschaft. Der vorliegende Beitrag stellt den Anti-Bias-Ansatz als Methode politischer Erwachsenenbildung vor. Hierfür werden die (Macht-)Mechanismen der Entstehung, Verinnerlichung und Reproduktion von Vorurteilen und Diskriminierung beleuchtet und wird die Intersektionalität (Überkreuzung) verschiedener Differenzlinien ausgemacht und aufgedeckt. Den Abschluss bildet ein Beispiel konkreter Umsetzung. (DIPF/Orig.)

Ludwig Liegle: Frühpädagogik. Erziehung und Bildung kleiner Kinder. Ein dialogischer Ansatz. Stuttgart: Kohlhammer 2013 (172 S.) [Rezension]

Rezension von: Ludwig Liegle: Frühpädagogik. Erziehung und Bildung kleiner Kinder. Ein dialogischer Ansatz. Stuttgart: Kohlhammer 2013 (172 S.; ISBN 978-3-17-022480-3)

Vom Gatekeeping zum Gatewatching : Modelle der journalistischen Vermittlung im Internet

Traditionelle journalistische Prozeduren der Inhaltserstellung und -vermittlung lassen sich in Presse und Rundfunk in erster Linie durch den Prozess des Gatekeeping charakterisieren. Im Internet findet sich jedoch zunehmend ein anderer Ansatz, der in Analogie zu dem traditionellen Begriff als Gatewatching beschrieben werden kann. In diesem Text werden die Besonderheiten des Gatewatchings herausgearbeitet, vor allem die multiperspektivische Form der Berichterstattung, und die wichtigsten Implikationen einer Bewegung vom Gatekeeping zum Gatewatching im Nachrichtenjournalismus analysiert.

Resistance fluctuation at the mobility edge

Following a Migdal-Kadanoff-type bond moving procedure, we derive the renormalisation-group equations for the characteristic function of the full probability distribution of resistance (conductance) of a three-dimensional disordered system. The resulting recursion relations for the first two cumulants, K, the mean resistance and K ~ t,he meansquare deviation of resistance exhibit a mobility edge dominated by large dispersion, i.e., K $ ’/ K=, 1, suggesting inadequacy of the one-parameter scaling ansatz.

Soft gluon k(t)-resummation and the Froissart bound

We study soft gluon k(t)-resurnmation and the relevance of InfraRed (IR) gluons for the energy dependence of total hadronic cross-sections. In our model, consistency with the Froissart bound is directly related to the ansatz that the IR behaviour of the QCD coupling constant follows an inverse power law.

Electrochemical phase formation involving multicomponents: hemispherical overlap models for varied nucleation and growth conditions

The phenomenological theory of hemispherical growth in the context of phase formation with more than one component is presented. The model discusses in a unified manner both instantaneous and progressive nucleation (at the substrate) as well as arbitrary growth rates (e.g. constant and diffusion controlled growth rates). A generalized version of Avrami ansatz (a mean field description) is used to tackle the ''overlap'' aspects arising from the growing multicentres of the many components involved, observing that the nucleation is confined to the substrate plane only. The time evolution of the total extent of macrogrowth as well as those of the individual components are discussed explicitly for the case of two phases. The asymptotic expressions for macrogrowth are derived. Such analysis depicts a saturation limit (i.e. the maximum extent of growth possible) for the slower growing component and its dependence on the kinetic parameters which, in the electrochemical context, can be controlled through potential. The significance of this model in the context of multicomponent alloy deposition and possible future directions for further development are pointed out.

Conjectures about phase turbulence in the complex Ginzburg-Landau equation

In the complex Ginzburg-Landau equation, we consider possible ''phase turbulent'' regimes, where asymptotic correlations are controlled by phase fluctuations rather than by topological defects. Conjecturing that the decay of such correlations is governed by the Kardar-Parisi-Zhang (KPZ) model of growing interfaces, we derive the following results: (1) A scaling ansatz implies that equal-time spatial correlations in 1d, 2d, and 3d decay like e(-Ax2 zeta), where A is a nonuniversal constant, and zeta=1/2 in 1d. (2) Temporal correlations decay as exp(-t(2 beta)h(t/L(z))), with the scaling law <(beta)over bar> = <(zeta)over bar>/z, where z = 3/2, 1.58..., and 1.66..., for d = 1,2, and 3 respectively. The scaling function h(y) approaches a constant as y --> 0, and behaves like y(2(beta-<(beta)over bar>)), for large y. If in 3d the associated KPZ model turns out to be in its weak-coupling (''smooth'') phase, then, instead of the above behavior, the CGLE exhibits rotating long-range order whose connected correlations decay like 1/x in space or 1/t(1/2) in time. (3) For system sizes, L, and times t respectively less than a crossover length, L(c), and time, t(c), correlations are governed by the free-field or Edwards-Wilkinson (EW) equation, rather than the KPZ model. In 1d, we find that L(c) is large: L(c) similar to 35,000; for L < L(c) we show numerical evidence for stretched exponential decay of temporal correlations with an exponent consistent with the EW value beta(EW)= 1/4.

Muon-spin rotation spectra in the mixed phase of high-T-c superconductors: Thermal fluctuations and disorder effects

We study muon-spin rotation (mu SR) spectra in the mixed phase of highly anisotropic layered superconductors, specifically Bi2+xSr2-xCaCu2O8+delta (BSCCO), by modeling the fluid and solid phases of pancake Vortices using liquid-state and density functional methods. The role of thermal fluctuations in causing motional narrowing of mu SR line shapes is quantified in terms of a first-principles theory of the flux-lattice melting transition. The effects of random point pinning are investigated using a replica treatment of liquid-state correlations and a replicated density functional theory. Our results indicate that motional narrowing in the pure system, although substantial, cannot account for the remarkably small linewidths obtained experimentally at relatively high fields and low temperatures. We find that satisfactory agreement with the mu SR data for BSCCO in this regime can be obtained through the ansatz that this ''phase'' is characterized by frozen short-range positional correlations reflecting the structure of the liquid just above the melting transition. This proposal is consistent with recent suggestions of a ''pinned liquid'' or ''glassy'' state of pancake Vortices in the presence of pinning disorder. Our results for the high-temperature liquid phase indicate that measurable linewidths may be obtained in this phase as a consequence of density inhomogeneities induced by the pinning disorder. The results presented here comprise a unified, first-principles theoretical treatment of mu SR spectra in highly anisotropic layered superconductors in terms of a controlled set of approximations. [S0163-1829(99)08033-9].

Minimum error solutions of the Boltzmann equation for shock structure

‘Best’ solutions for the shock-structure problem are obtained by solving the Boltzmann equation for a rigid sphere gas by applying minimum error criteria on the Mott-Smith ansatz. The use of two such criteria minimizing respectively the local and total errors, as well as independent computations of the remaining error, establish the high accuracy of the solutions, although it is shown that the Mott-Smith distribution is not an exact solution of the Boltzmann equation even at infinite Mach number. The minimum local error method is found to be particularly simple and efficient. Adopting the present solutions as the standard of comparison, it is found that the widely used v2x-moment solutions can be as much as a third in error, but that results based on Rosen's method provide good approximations. Finally, it is shown that if the Maxwell mean free path on the hot side of the shock is chosen as the scaling length, the value of the density-slope shock thickness is relatively insensitive to the intermolecular potential. A comparison is made on this basis of present results with experiment, and very satisfactory quantitative agreement is obtained.

A model for probing large distance behaviour in high energy collisions

We apply to total cross-sections our model for soft gluon resummation in the infrared region. The model aims to probe large distance interactions in QCD. Our ansatz for an effective coupling for gluons and quarks in the infrared region follows an inverse power law which is singular but integrable. In the context of an eikonal formalism with QCD mini-jets, we study total hadronic cross-sections for protons, pions, photons. We estimate the total inelastic cross-section at LHC comparing with recent measurements and update previous results for survival probability.