Thomas-Fermi theory for atomic nuclei revisited

The recently developed semiclassical variational Wigner-Kirkwood (VWK) approach is applied to finite nuclei using external potentials and self-consistent mean fields derived from Skyrme inter-actions and from relativistic mean field theory. VWK consist s of the Thomas-Fermi part plus a pure, perturbative h 2 correction. In external potentials, VWK passes through the average of the quantal values of the accumulated level density and total en energy as a function of the Fermi energy. However, there is a problem of overbinding when the energy per particle is displayed as a function of the particle number. The situation is analyzed comparing spherical and deformed harmonic oscillator potentials. In the self-consistent case, we show for Skyrme forces that VWK binding energies are very close to those obtained from extended Thomas-Fermi functionals of h 4 order, pointing to the rapid convergence of the VWK theory. This satisfying result, however, does not cure the overbinding problem, i.e., the semiclassical energies show more binding than they should. This feature is more pronounced in the case of Skyrme forces than with the relativistic mean field approach. However, even in the latter case the shell correction energy for e.g.208 Pb turns out to be only ∼ −6 MeV what is about a factor two or three off the generally accepted value. As an adhoc remedy, increasing the kinetic energy by 2.5%, leads to shell correction energies well acceptable throughout the periodic table. The general importance of the present studies for other finite Fermi systems, self-bound or in external potentials, is pointed out.

Greek by Steven Berkoff (1980): The Risky Transformation of Sophocles’ Oedipus Rex into a Love Story

[eng] Can Sophocles’ Oedipus Rex really be transformed into a love story, as in Steven Berkoff’s drama entitled Greek? This article will show that, although Greek may be viewed by some critics as simply a provocative drama by no means intended to justify incest, directors, actors and critics in the end become enthralled by the powerful love story that ensues between Eddy and his wife and mother. This perspective reveals that Berkoff’s adaptation, intended to portray the social degradation of 1980s Great Britain, is in reality a quite risky proposition since it represents a flat denial of the tragic awareness of contemporary men and women. However, if this is the case, the audience, apart from enjoying the performance of Berkoff’s drama, might question, even from a non-fundamentalist perspective within the classical tradition, to what degree it makes sense to take inspiration from a text by Sophocles that precisely illustrates the great tragic awareness of the ancient Greeks.

Classical references and their significance in The Magic Mountain by Thomas Mann

Although Thomas Mann’s novel The Magic Mountain has been the object of innumerable studies, this paper suggests that so far none of these has given truly close attention to the significance of the classical references in this novel with regard to the search for a true humanism. This is probably owing to the generally held belief that the influence of the classical tradition is relatively inconsequential in relation to the ample conjunction of philosophical ideas on which the novel is based. This article takes a differing view and, through a close analysis and comment of the explicit and implicit classical notions in the text, concludes that these ideas are also a valuable key to a greater comprehension of the ideological design of the main character, Hans Castorp, and to a certain degree they also help to continue to reflect on the most enigmatic and controversial episode of the novel: the young protagonist’s descent to the plain from the magical mountain (Zauberberg) in order to take part in the great tragedy of World War I, alien as is any war to the prevalent but ultimately futile desire that love (Liebe) should in the end prevail in the life of humans.

Greek de Steven Berkoff (1980): L’arriscada conversió de l’Èdip rei de Sòfocles en una love story

[cat] ¿Podem convertir l’Èdip rei de Sòfocles en una història d’amor com ho fa Berkoff a Greek?. Tot i que alguns crítics llegeixen Greek només com un drama provocador que de cap manera intenta justificar l’incest, directors, actors i crítics resten finalment captivats per la impactant història d’amor entre Eddy i la seva esposa-mare. Això demostraria que l’adaptació de Berkoff, pensada per a il·lustrar la degradació social de la Gran Bretanya dels 80s, esdevé una proposta arriscada, car significa negar de fet la consciència tràgica dels homes i dones contemporanis. Tanmateix, si aquest és el cas, lectors i espectadors, a banda de l’indubtable plaer d’assistir a la representació de Greek, poden preguntar-se, fins i tot des d’una perspectiva no fonamentalista de la tradició clàssica, si té sentit inspirar-se en el text de Sòfocles, el qual mostra precisament la gran consciència tràgica dels grecs.