Non-Abelian gauge redundancy and entropic ambiguities

The von Neumann entropy of a generic quantum state is not unique unless the state can be uniquely decomposed as a sum of extremal or pure states. Therefore one reaches the remarkable possibility that there may be many entropies for a given state. We show that this happens if the GNS representation (of the algebra of observables in some quantum state) is reducible, and some representations in the decomposition occur with non-trivial degeneracy. This ambiguity in entropy, which can occur at zero temperature, can often be traced to a gauge symmetry emergent from the non-trivial topological character of the configuration space of the underlying system. We also establish the analogue of an H-theorem for this entropy by showing that its evolution is Markovian, determined by a stochastic matrix. After demonstrating this entropy ambiguity for the simple example of the algebra of 2 x 2 matrices, we argue that the degeneracies in the GNS representation can be interpreted as an emergent broken gauge symmetry, and play an important role in the analysis of emergent entropy due to non-Abelian anomalies. We work out the simplest situation with such non-Abelian symmetry, that of an ethylene molecule.

O cantar da Germânia: política e cultura na Alemanha na passagem dos séculos XII e XIII

Esta tese desenvolvida na linha de pesquisa Política e Cultura destaca o interesse pelos fenômenos da transmissão do conhecimento intelectual. A tese reconstrói a expressão da cultura política medieval germânica pela ótica de dois poetas, Walther von der Vogelweide e Wolfram von Eschenbach, integrantes da aristocracia guerreira. Os suportes teóricos dos Sprüche, sentenças de natureza política de Vogelweide e do Parzifal de Eschenbach, foram fundamentais para compreender o posicionamento político e cultural alemão frente às transformações que afetaram a Cristandade no período de fins do século XII ao início do século XIII. Esse período foi marcado pelo confronto de Papas e Imperadores em torno do direito de exercer a autoridade no âmbito do Sacro Império Romano-Germânico. O movimento cruzadista, o renascimento urbano e a ascensão de novos atores sociais burgueses integram o conjunto dos elementos a serem levados em conta na elaboração da tese. A ideia norteadora do trabalho tornou necessário recorrer a obras literárias com objetivo de elucidar questões de natureza histórica, tendo claro que a Literatura não é um contraponto da História e o texto resultante contribua para ressignificar a produção política da cultura medieval e um melhor entendimento dos mecanismos do poder na Alemanha medieval. No plano teórico-metodológico recorremos à chamada História Cultural fornecendo uma visão integradora dos planos político, social e econômico.

Intelligence Without Reason

Computers and Thought are the two categories that together define Artificial Intelligence as a discipline. It is generally accepted that work in Artificial Intelligence over the last thirty years has had a strong influence on aspects of computer architectures. In this paper we also make the converse claim; that the state of computer architecture has been a strong influence on our models of thought. The Von Neumann model of computation has lead Artificial Intelligence in particular directions. Intelligence in biological systems is completely different. Recent work in behavior-based Artificial Intelligenge has produced new models of intelligence that are much closer in spirit to biological systems. The non-Von Neumann computational models they use share many characteristics with biological computation.

Wissen um Stimmung : zu einem vagen Begriff in Robert Musils Frühwerk

Diese Studie untersucht die Poetik und Wirkungsästhetik von Robert Musils Die Verwirrungen des Zöglings Törleß (1906) und Die Vereinigungen (1911) anhand des Schlüsselbegriffs >Stimmung<. Wegen der Vagheit des Begriffs und seiner Relevanz in Psychologie, Philosophie und Ästhetik um 1900 wird das Wissen um >Stimmung< im ersten Teil der Studie diskursgeschichtlich beschrieben. Es kann dabei anhand von Robert Mayer, Gustav Theodor Fechner, Hermann von Helmholtz und Wilhelm Wundt gezeigt werden, dass >Stimmungen< als psychologische Zustände wie ästhetische Phänomene in einem engen Verhältnis mit der thermodynamischen Theorie und der Denkfigur des psychophysischen Parallelismus standen. >Stimmungen< galten zum Ende des 19. Jh. einerseits als gleichermaßen experimentell unzugängliche wie grundlegende psychologische Dispositionen, die Körper, Emotion und Intellekt umfassen können, und andererseits als energetisch konzipiertes Verhältnis des Einzelnen zur Außenwelt, das sich in Schwingungen und Strahlen äußert. Im zweiten und dritten Teil wurden die Wissensübertragungen und die genuin literarischen Ausdifferenzierungen von >Stimmungen< in einer dezidiert textnahen Lektüre von Musils Frühwerk entwickelt. Die Textanalyse zeigte, dass in Musils Frühwerk auf thematischer, metaphorologischer, poetologischer und wirkungsästhetischer Ebene von Stimmungen konstituiert wird. Von herausragender Bedeutung sind dabei immaterielle Phänomene. In Auseinandersetzung mit der Ästhetik des Fin de Siècle und dem >Psychophysischen< formuliert der Roman Die Verwirrungen des Zöglings Törleß eine Poetik des Duftes, mit der das dichtungstheoretische Ideal einer gleichsam emotional wie rational wirksamen Literatur umgesetzt werden soll. Die Novellen Die Vollendung der Liebe und Die Versuchung der stillen Veronika übertragen psychologisches Stimmungswissen in den literarischen Text und differenzieren es zu ästhetischen Strukturen aus. Zwei verschiedene Leitkonzepte konnten in Die Vereinigungen identifiziert werden: Während Die Versuchung der stillen Veronika eine Poetik bzw. eine Wirkungsästhetik der Wellen entwirft, formuliert Die Vollendung der Liebe eine literarische Anthropologie anhand musikalischen Metaphern und Texturen aus.

Bandas de música, escolas de vida

The focus of this dissertation is to understand the child and youth musical learning trajectory by using two philharmonic orchestras from Seridó, an area in the interior of Rio Grande do Norte. One is called the Hermann Gmeiner Philharmonic Orchestra of Aldeias Infantis SOS Project from Caicó, and the other is the 24 de Outubro Philharmonic Orchestra from Cruzeta. It emphasizes the singular relationship between the band s master and his students, based on a permanent interaction with tradition, creativity and change, resulting from a shared educational process. The idea that unites the work of these two communities is the gamble about the individual's formation as a complex human being, which it is not just concerned with the learning of a musical instrument, but is, more importantly, an educational process capable of facilitating the discovery of the self, others and society. The history and the course of the musical education of these two experiences were facilitated using a base of semi-structured interviews of the bands masters, students and people from two municipal districts. Their history is understood through analysis of the band s pictures and the theoretical-social approach is governed by the complexity idea expressed by Edgar Morin. For the author, complex means to `weave together`; therefore it is multidimensional, and it creates a dialogue about several domains and aspects that occur on the same phenomenon. The complex always supposes creativity and the relationship between the subject s reason and affectivity

Efeitos da progesterona exógena na produção in vitro de embriões em novilhas Nelore pré-púberes

Pós-graduação em Medicina Veterinária - FCAV

Schrodinger and Dirac operators with the Aharonov-Bohm and magnetic-solenoid fields

We construct all self-adjoint Schrodinger and Dirac operators (Hamiltonians) with both the pure Aharonov-Bohm (AB) field and the so-called magnetic-solenoid field (a collinear superposition of the AB field and a constant magnetic field). We perform a spectral analysis for these operators, which includes finding spectra and spectral decompositions, or inversion formulae. In constructing the Hamiltonians and performing their spectral analysis, we follow, respectively, the von Neumann theory of self-adjoint extensions of symmetric operators and the Krein method of guiding functionals.

Transiting exoplanets from the CoRoT space mission XX. CoRoT-20b: A very high density, high eccentricity transiting giant planet

We report the discovery by the CoRoT space mission of a new giant planet, CoRoT-20b. The planet has a mass of 4.24 +/- 0.23 M-Jup and a radius of 0.84 +/- 0.04 R-Jup. With a mean density of 8.87 +/- 1.10 g cm(-3), it is among the most compact planets known so far. Evolutionary models for the planet suggest a mass of heavy elements of the order of 800 M-circle plus if embedded in a central core, requiring a revision either of the planet formation models or both planet evolution and structure models. We note however that smaller amounts of heavy elements are expected by more realistic models in which they are mixed throughout the envelope. The planet orbits a G-type star with an orbital period of 9.24 days and an eccentricity of 0.56. The star's projected rotational velocity is v sin i = 4.5 +/- 1.0 km s(-1), corresponding to a spin period of 11.5 +/- 3.1 days if its axis of rotation is perpendicular to the orbital plane. In the framework of Darwinian theories and neglecting stellar magnetic breaking, we calculate the tidal evolution of the system and show that CoRoT-20b is presently one of the very few Darwin-stable planets that is evolving toward a triple synchronous state with equality of the orbital, planetary and stellar spin periods.

Particle Acceleration in Turbulence and Weakly Stochastic Reconnection

In this Letter we analyze the energy distribution evolution of test particles injected in three dimensional (3D) magnetohydrodynamic (MHD) simulations of different magnetic reconnection configurations. When considering a single Sweet-Parker topology, the particles accelerate predominantly through a first-order Fermi process, as predicted in [3] and demonstrated numerically in [8]. When turbulence is included within the current sheet, the acceleration rate is highly enhanced, because reconnection becomes fast and independent of resistivity [4,11] and allows the formation of a thick volume filled with multiple simultaneously reconnecting magnetic fluxes. Charged particles trapped within this volume suffer several head-on scatterings with the contracting magnetic fluctuations, which significantly increase the acceleration rate and results in a first-order Fermi process. For comparison, we also tested acceleration in MHD turbulence, where particles suffer collisions with approaching and receding magnetic irregularities, resulting in a reduced acceleration rate. We argue that the dominant acceleration mechanism approaches a second order Fermi process in this case.

Der Totenkult um die Kolonialheroen des Deutschen Kaiserreichs

Der Tod der deutschen Kolonialpioniere stellte dem Anschein nach ein ideales Feld nationaler Identifikation dar. Die Männer der ersten Stunde hatten afrikanisches Territorium gegen die Unbilden der Natur und die Widerstände der einheimischen Bevölkerung in Besitz genommen. Die Erinnerung an die toten Helden konnte daher sinnfällige Mythen nationaler Erfolgsgeschichte bereitstellen. Der Beitrag überprüft am Beispiel der beiden zeitgenössisch bei weitem bekanntesten deutschen Kolonialpioniere Hermann von Wissmann und Carl Peters, welche Formen und Funktionen der Totenkult um die Kolonialheroen des Kaiserreichs hatte. Beisetzungsfeiern, Nachrufe, Denkmäler und Nachwirkungen werden betrachtet, bevor abschließend vergleichende allgemeinere Schlussfolgerungen gezogen werden. Dabei zeigt sich, dass die Ehrung der Kolonialhelden allenfalls oberflächlich zur nationalen Integration beitrug. Vielmehr wurde der Kult um die Kolonialpioniere, der schon zu Zeiten des Kaiserreichs vor allem auf die Kolonialbewegung selbst zurückging und vom Reich nur mit Zurückhaltung unterstützt wurde, zunehmend zur Kritik an der Berliner Politik genutzt. Er diente der Rechtfertigung und Schuldzuweisung. Im Kolonialrevisionismus nach 1918 bestätigt sich dieser Befund.

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von Hermann von Gauvain