Orthogonality relations and supercharacter formulas of U(m vertical bar n) representations

In this paper we obtain the orthogonality relations for the supergroup U(m|n), which are remarkably different from the ones for the U(N) case. We extend our results for ordinary representations, obtained some time ago, to the case of complex conjugated and mixed representations. Our results are expressed in terms of the Young tableaux notation for irreducible representations. We use the supersymmetric Harish-Chandra-Itzykson-Zuber integral and the character expansion technique as mathematical tools for deriving these relations. As a byproduct we also obtain closed expressions for the supercharacters and dimensions of some particular irreducible U(m|n) representations. A new way of labeling the U(m|n) irreducible representations in terms of m + n numbers is proposed. Finally, as a corollary of our results, new identities among the dimensions of the irreducible representations of the unitary group U(N) are presented. © 1997 American Institute of Physics.

O espaço-tempo não comutativo em Teoria Quântica de Campos, Matéria Condensada Mole e Física Biológica

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Vibração de barras em pequena amplitude com efeito geométrico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

The briefing in paleodesign: selection and arrangement of data for the reconstruction of Paleovertebrates

Representing visually the external appearance of an extinct animal requires, for a reasonably reliable and expressive reconstitution, a good compilation and arrangement of the scientific conclusions on the fossil findings. It is proposed in this work an initial model of a briefing to be applied in a paleodesign process of a paleovertebrate. Briefing can be understood as a gathering of all necessary data to perform a project. We point out what must be known about the relevant structures in order to access all the data and the importance of such information. It is expected that the present briefing suggested might be faced with flexibility, serving as a facilitating interface of the relation between paleoartists and paleontologists.

Contextos comunicacionais adequados e inadequados à inclusão de alunos com deficiência visual em aulas de termologia

This article represents a continuation of the results of a research presented in Camargo and Nardi (2007). It is inserted in the study that seeks to understand the main student’s inclusion barriers with visual impairment in the Physics classes. It aims to understand which communication context shows kindness or unkindness to the impairment visual student’s real participation in thermology activities. For this, the research defines, from the empirical - sensory and semantics structures, the used languages in the activities, as well, the moment and the speech pattern in which the languages have been used. As result, identifies a strong relation between the uses of the interdependent empirical structure audio-visual language in the non-interactive episodes of authority; a decrease of this structure use in the interactive episodes and the creation of education segregation environments within the classroom.

Física Moderna e Contemporânea no ensino médio e a formação de professores: desencontros com a ação comunicativa e a ação dialógica emancipatórias

Taking into consideration various argumentation perspectives, the introduction of Modern and Contemporary Physics at High School level has been defended by various researchers. In the present qualitative nature research, we heard and interpreted ten High School physics teachers’ discourses, aiming to analyze how their initial education, regarding to Modern and Contemporary Physics, was based in a rationality which matches with the communicative and the dialogical actions. Teachers of our sample were individually interviewed and, at that time, they had finished their initial undergraduate program at least five years before. Teachers’ discourses interpretation was supported by some French school discourse analysis’ concepts, Jürgen Habermas’ communicative action, Freire’s dialogical action, as well as teachers’ education research critical referential. The discourses interpretations evidenced that these teachers’ education, with respect to Modern and Contemporary Physics, was mainly based in technical-instrumental rationality basis. This perspective did not help teachers’ autonomy construction in order to work these subjects in their classes, mainly in a perspective coherent with the teachers’ emancipation, producing reflexes in classroom physics teaching. The study evidenciates the necessity of future teachers’ professors revise theirs teaching practice, as well studying other curricular structures, regarding to Modern and Contemporary Physics teaching.