Group theory and quasiprobability integrals of Wigner functions

The integral of the Wigner function of a quantum-mechanical system over a region or its boundary in the classical phase plane, is called a quasiprobability integral. Unlike a true probability integral, its value may lie outside the interval [0, 1]. It is characterized by a corresponding selfadjoint operator, to be called a region or contour operator as appropriate, which is determined by the characteristic function of that region or contour. The spectral problem is studied for commuting families of region and contour operators associated with concentric discs and circles of given radius a. Their respective eigenvalues are determined as functions of a, in terms of the Gauss-Laguerre polynomials. These polynomials provide a basis of vectors in a Hilbert space carrying the positive discrete series representation of the algebra su(1, 1) approximate to so(2, 1). The explicit relation between the spectra of operators associated with discs and circles with proportional radii, is given in terms of the discrete variable Meixner polynomials.

Rationalization, Kunstwollen and technical means of expressivity. The example of the romantic piano

This article seeks to retrace some of the empirical, historical and sociological elements of Max Weber Sociology of music. Even if he is first and foremost interested in the process of rationalisation throughout western civilisation, his Sociology of music is founded on the idea of the technical medium, which he explores in several different directions. This idea will be examined here by means of several examples drawn from western music, particularly from the romantic piano repertoire.

Language and interdisciplinarity

Since language is multifaceted and heterogeneous, interdisciplinarity is natural to linguistic studies. In this article, after demonstrating that, I present two basic ways of doing science. One is ruled by the principle of exclusion, whereas the other is ruled by the principle of participation. The former leads to specialization, whereas the latter leads to the surpassing of specialization. From that, I discuss the advantages and problems of disciplinarity, and present the reasons why nowadays interdisciplinarity is a positive universal in scientific and pedagogical discourses. Also, based on etymology, I discuss the concepts of interdisciplinarity, multidisciplinarity, pluridisciplinarity and transdisciplinarity. Finally, I examine the bonds between linguistics and other sciences, by drawing a brief history of the relations between linguistics and literature in Brazil.

Accumulation and Gaps in the Research on Argentine Rock

Based on a comprehensive study in research centers and libraries, a panorama of the critical response to Argentine rock in academic circles has been traced in various fields of knowledge. Research works including books, trade magazines, and academic papers on this musical movement spanning four decades have been consulted. The results show that the criticism has generated a ""developing tradition"" around the movement, mainly in the Social and Communication Sciences, and it has presented the following predominant traits: approaching rock essentially as a determinant of ""social identities""; periodization in the genre according to political regime: and analysis of the lyrics based solely on content. These traits contribute to a delimitation of rock as an exclusive phenomenon of the mass media, which relegates to secondary importance its aesthetic function and its relationship with other artistic series. Furthermore, we have observed a scarcity of approaches to rock lyrics as a linguistic-discursive surface.