We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schrödinger equation for the density matrix of spin-1/2 particles in the presence of an electromagnetic field. The Liouville operator for the particle with spin follows from using the Wigner–Moyal transformation and a suitable Clifford algebra constructed on the phase space of a (4 + 1)-dimensional space–time with Galilean geometry. Connections with the algebraic formalism of thermofield dynamics are also investigated.

Onderwerp en gezegde, door D. M. Bakker.--Enkele opmerkingen over het Godsbegrip van Justinus Martyr, door J. den Boeft.--Heidegger, Descartes, Luther, door J. van der Hoeven.--"Geschichtlichkeit" bij Carl Friedrich von Weizsäcker, door G. Horsman.--Menselijke ontmaskering en Bijbels démasqué , door R. Huson.--Kleine geschiedenis van het begrip "niets" in de antieke wijsbegeerte (tot e met de Sofisten en Plato), door P. A. Meijer.--De structuur van opvoeden en opvoedkunde, door J. W. Mojet.--Individualiteit in de fysica, door M. D. (...) Stafleu. (shrink)

We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic spinors due to Riesz and Cartan. The generators βμ (p) of the D.K.P algebras are constructed in the standard fashion used to construct Clifford algebras out of bilinear forms. Free D.K.P particles and D.K.P particles in a prescribed external electromagnetic field are analized and general Liouville type equations for these cases are (...) obtained. Choosing particular values for the label p we classify the different types of the D.K.P Liouville operators. (shrink)

MacDougall has argued that Rawls’s liberal social theory suggests that parents who hold certain religious convictions can legitimately refuse blood transfusion on their children’s behalf. This paper argues that this is wrong for at least five reasons. First, MacDougall neglects the possibility that true freedom of conscience entails the right to choose one’s own religion rather than have it dictated by one’s parents. Second, he conveniently ignores the fact that children in such situations are much more likely to die than (...) to survive without blood. Third, he relies on an ambiguous understanding of what is "rational" and treats children as mere extensions of their parents. Fourth, he neglects the fact that those in the original position would seek to protect themselves from persecution and enslavement and thus would not allow groups of children to be killed because of their parents’ beliefs. Finally, Rawls makes it clear that we should choose for children as we would choose for ourselves in the original position, with no particular conception of the good (such as that held by Jehovah’s Witnesses). (shrink)

The focus of this study was to analyze the content, distribution, and comparative genome relationships of 996 chromosome bin-mapped expressed sequence tags accounting for 2266 restriction fragments on the homoeologous group 3 chromosomes of hexaploid wheat. Of these loci, 634, 884, and 748 were mapped on chromosomes 3A, 3B, and 3D, respectively. The individual chromosome bin maps revealed bins with a high density of mapped ESTs in the distal region and bins of low density in the proximal region of the (...) chromosome arms, with the exception of 3DS and 3DL. These distributions were more localized on the higher-resolution group 3 consensus map with intermediate regions of high-mapped-EST density on both chromosome arms. Gene ontology classification of mapped ESTs was not significantly different for homoeologous group 3 chromosomes compared to the other groups. A combined analysis of the individual bin maps using 537 of the mapped ESTs revealed rearrangements between the group 3 chromosomes. Approximately 232 of the consensus mapped ESTs matched sequences on rice chromosome 1 and revealed large- and small-scale differences in gene order. Of the group 3 mapped EST unigenes ∼21 and 32% matched the Arabidopsis coding regions and proteins, respectively, but no chromosome-level gene order conservation was detected. (shrink)

Markovic draws upon the Zagreb school of Marx-interpretation, as well as on the data of the historical development of socialism in Yugoslavia in his attempt to develop a critical social theory. He constantly opposes the use of Marxian theory as an ideological orthodoxy simply legitimating political practice. And he points out how Marxian social thought may be a means of critically comprehending social processes, as well as a self-critical theory developing in relation to the historical data at whose evaluation it (...) is directed. Markovic insists that critical social theory must take as its subject matter a range of data comprised of contemporary phenomena, the history of such phenomena, and the human evaluations and aspirations which the historical situation engenders. This points up the importance of a theory of man for a critical social theory. Only an adequate theory of man enables social theory to comprehend and evaluate the goals arising from specific social processes. Markovic outlines elements of such a theory of man, as discoverable in Marx. With these guiding ideas, he examines specific themes such as economics and human values, technology, politics as a professional institution, and revolution. Markovic’s examinations valuably illustrate a balanced Marxian approach to social questions. It is argued, for example, that technological innovations must be analyzed in relation both to the concrete economic processes of given societies, and to the human needs operative in those societies. Markovic draws upon the Yugoslav experience to show the concrete nature of such an analysis. The viability of the professional political institution is discussed, with reference to specific productive relations in societies, and the political possibilities thereof. And in the context of a distinction between political and social revolution, he writes with sensitivity and discernment on the concept of revolution in Marx. Problematically, the precise status of a theory of man in a social theory of the Marxian variety remains unanswered herein. But the work stands as highly useful to those interested in non-ideological developments of Marxian social theory.—M.J.D. (shrink)