The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields; An action is constructed and the second quantization of the fields carried out using a constraint procedure. The properties of the second quantized matter fields are discussed.

The Scottish Mental Health Arts and Film Festival has seen hundreds of arts, public and community groups coproduce over 300 events to over 25,000 audience members. Integral to this arts-based approach, in contrast to social marketing or public education models, is the notion that mental health is an essentially contested concept whereby meanings are negotiated and debate encouraged. With emerging evidence that the festival is an ef ective way of engaging people intellectually and emotionally, we explore ethical issues, challenges and (...) paradoxes that have emerged as the festival has developed. Consideration is given to issues of power, purpose, opportunity costs, reach, impact, programming risks, and participation from those with experience of mental ill-health. Throughout, we explore practical implications for funding, managing, programming, marketing and evaluation of this and similar endeavours. (shrink)

New trends in the economic systems management in the context of modern global challenges: collective monograph / scientific edited by M. Bezpartochnyi, in 2 Vol. // VUZF University of Finance, Business and Entrepreneurship. – Sofia: VUZF Publishing House “St. Grigorii Bogoslov”, 2020. – Vol. 1. – 309 p.

A survey of 106 medical students assessing their interest in and attitudes to medical ethics in the curriculum is reported by the authors. Results indicate that 64 per cent of the students rated the importance of medical ethics to good medical care as high or critical and 66 per cent desired to learn more about the topic. However, in reports of patient encounters identifying ethical issues, less than six per cent of the students reported a frequency of more than one (...) such patient encounter per week. The students also demonstrated a greater awareness of more obvious ethical issues than of more subtle, less publicised issues. When asked how medical ethics should be taught, the students clearly affirmed a desire for an integrated exposure to the subject throughout the medical curriculum. Possible implications of these findings for medical education are discussed. (shrink)

This paper reviews current psychological theories of syllogistic inference and establishes that despite their various merits they all contain deficiencies as theories of performance. It presents the results of two experiments, one using syllogisms and the other using three-term series problems, designed to elucidate how the arrangement of terms within the premises affects performance. These data are used in the construction of a theory based on the hypothesis that reasoners construct mental models of the premises, formulate informative conclusions about the (...) relations in the model, and search for alternative models that are counterexamples to these conclusions. This theory, which has been implemented in several computer programs, predicts that two principal factors should affect performance: the figure of the premises, and the number of models that they call for. These predictions were confirmed by a third experiment. Dans cet article sont passées en revue les théories psychologiques du traitement des syllogismes. On établit qu'en dépit de leurs mérites variés toutes sont en défaut en tant que théories de la performance. On présente les résultats de deux expériences, une utilisant des syllogismes et l'autre des problémes avec des séries de trois termes conçues pour élucider comment l'arrangement des termes dans les premises affecte la performance. Ces données sont utilisées pour construire une théorie fondée sur l'hypothése que les gens construisent des modèles mentaux des premises, formulent des conclusions explicites sur les relations dans le modèle et cherchent des modèles qui seraient des contre-exemples pour leurs conclusions. Cette théorie, utilisée dans plusieurs programmes d'ordinateur, prédit que deux principaux facteurs affectent la performance: la figure des premises et le nombre de; modèles qu'ils mettent en jeu. Cette prédiction est confirmée dans les trois expériences. (shrink)

A project of the Gandhi Centennial Committee of Southern Illinois University, the book outlines the basic tenets of Gandhian philosophy as interpreted by Western thinkers, deals with problems of American education, and offers some reflec­tions on what kinds of solutions may be posed by educators, primarily at the university level. The Foreword and Epilogue are by two distinguished Indian educators, _K. L. Shrimali_, Vice-chancellor, and _N. A. Nikam_, former Vice-chancellor, University of Mysore.

Relativistic quantum mechanics has been formulated as a theory of the evolution ofevents in spacetime; the wave functions are square-integrable functions on the four-dimensional spacetime, parametrized by a universal invariant world time τ. The representation of states with spin is induced with a little group that is the subgroup of O(3, 1) leaving invariant a timelike vector nμ; a positive definite invariant scalar product, for which matrix elements of tensor operators are covariant, emerges from this construction. In a previous study (...) a second-order equation was introduced similar to the second-order Dirac equation, based on a quadratic function of two operators which are the self-adjoint parts, in this new scalar product, of γμpμ. It is shown in this paper that one of these operators, in fact the one from which the gyromagnetic moment is obtained, can be used to construct a first-order equation. The corresponding quantum theory is somewhat analogous to Dirac's spinor form; the Hamilton equations appear to describe dynamical degrees of freedom in a spacelike hyperplane orthogonal to nμ (in Dirac's theory the motion appears to be lightlike). It is shown that the integration over nμ required by unitarity results in timelike motion (as in the expectation value of Dirac's α). Explicit forms are obtained for the wave functions and currents for free motion. The general form of the theory is written for the (five-dimensional) pre-Maxwell fields required by gauge invariance. (shrink)

It is shown that the measurement algebra of Schwinger, a characterization of the properties of Pauli measurements of the first and second kinds, forming the foundation of his formulation of quantum mechanics over the complex field, has a quaternionic generalization. In this quaternionic measurement algebra some of the notions of quaternionic quantum mechanics are clarified. The conditions imposed on the form of the corresponding quantum field theory are studied, and the quantum fields are constructed. It is shown that the resulting (...) quantum fields coincide with the fermion or boson annihilation-creation operators obtained by Razon and Horwitz in the limit in which the number of particles in physical states N→∞. (shrink)

A manifestly covariant relativistic statistical mechanics of a system of N indistinguishable events with motion in space-time parametrized by an invariant “historical time” τ is considered. The relativistic mass distribution for such a system is obtained from the equilibrium solution of the generalized relativistic Boltzmann equation by integration over angular and hyperangular variables. All the characteristic averages are calculated. Expressions for the pressure and the energy density are found, and the relativistic equation of state is obtained. Validity criteria are defined. (...) The Galilean limit is considered; the theory is shown to pass over to the usual nonrelativistic statistical mechanics of indistinguishable particles. Anti-events are introduced; for an event-anti-event system the equation of state p, ρ ∝ T 6 is found, which gives the value of the sound velocity c 2 = 0.20, in agreement with the “realistic” equation of state suggested by Shuryak for hot hadronic matter. (shrink)

We consider the relativistic statistical mechanics of an ensemble of N events with motion in space-time parametrized by an invariant “historical time” τ. We generalize the approach of Yang and Yao, based on the Wigner distribution functions and the Bogoliubov hypotheses to find approximate dynamical equations for the kinetic state of any nonequilibrium system, to the relativistic case, and obtain a manifestly covariant Boltzmann- type equation which is a relativistic generalization of the Boltzmann-Uehling-Uhlenbeck (BUU) equation for indistinguishable particles. This equation (...) is then used to prove the H-theorem for evolution in τ. In the equilibrium limit, the covariant forms of the standard statistical mechanical distributions are obtained. We introduce two-body interactions by means of the direct action potential V(q), where q is an invariant distance in the Minkowski space-time. The two- body correlations are taken to have the support in a relative O(2, 1)-invariant subregion of the full spacelike region. The expressions for the energy density and pressure are obtained and shown to have the same forms (in terms of an invariant distance parameter) as those of the nonrelativistic theory and to provide the correct nonrelativistic limit. (shrink)

We review the equivalence of the two-flavor Skyrme-Witten model and the two-flavor large-N c quark model. The claimed equivalence for three flavorsbetween these two models is shown to be incorrectly given in the literature, and the properly equivalent extended three-flavor large-N c quark model is constructed and discussed.

This is another volume in the continuing series published under the auspices of Tulane University. It contains eight articles. Ramona Cormier’s article "The Concept of Isolation in Contemporary Aesthetic Theory" uses the term isolation in accordance with Langer’s definition. In order to develop her point Cormier distinguishes between the historicity of an art work and the historiography of the work. On the basis of this she discusses briefly the attitudes of Jerome Schiller, Clive Bell, T. S. Eliot, Jerome Stolnitz, Roger (...) Fry, George Dickie. Shannon DuBose remarks in "Poesis and Cosmos" that "... views advanced [on art] in The Republic loom larger than need be in discussion of Plato’s theory of art; they should be balanced with suggestions advanced in other dialogues, particularly The Timaeus." One cannot agree more with this need for balance. Professor Feibleman’s article "The Art of the Philosophy of Art" is not so much a discussion of the philosophy of art as it is a discussion of the artist, the role of art in society, the relation of art to other areas of a culture in which art specifically exists. John Glenn, Jr. has written on "Kierkegaard on the Unity of Comedy and Tragedy." I do not agree with all his interpretations of Kierkegaard but his article is interesting. Harold N. Lee in "Action, Perception and Art" rethinks a position he held in the original edition of his Perception and Aesthetic Value. He now holds that "... the two views of the nature of art can be shown to be essentially related and not only externally so...." Marian L. Paulson writes an article, "Structures in Art Media," where she suggests that perhaps the problem of structural relations among art media may find a solution if one takes account of the Jungian notion of the racial unconscious, especially in the resolution of the tensions between anima and animus and between the shadow and transcendence. The article "Truth in Art" by Louise N. Roberts discusses one of the many ways in which the expression "truth in art" may be considered. The author in this case shows how paintings may present a truth in a way quite different from verbal statements. The book concludes with John Sallis’ commentary on Nietzsche’s The Birth of Tragedy.—P. N. (shrink)

The particle internal clock conjectured by de Broglie in 1924 was investigated in a channeling experiment using a beam of ∼80 MeV electrons aligned along the 〈110〉 direction of a 1 μm thick silicon crystal. Some of the electrons undergo a rosette motion, in which they interact with a single atomic row. When the electron energy is finely varied, the rate of electron transmission at 0° shows a 8% dip within 0.5% of the resonance energy, 80.874 MeV, for which the (...) frequency of atomic collisions matches the electron’s internal clock frequency. A model is presented to show the compatibility of our data with the de Broglie hypothesis. (shrink)