Twentieth Annual Convention of the College Theology Society

News release announces that the twentieth annual convention of the College Theology Society will be held at the University of Dayton

Effective action and density functional theory

The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator functional of connected Green functions for the density and the photon field, offering systematic approximation schemes. The leading order of the perturbation expansion reproduces the Hartree-Fock equation. A renormalization group motivated method is introduced to turn on the Coulomb interaction gradually and to find corrections to the Hartree-Fock and the Kohn-Sham schemes.Comment: New references and a numerical algorithm added, to appear in Phys. Rev. B. 30 pages, no figure

The nuclear energy density functional formalism

The present document focuses on the theoretical foundations of the nuclear energy density functional (EDF) method. As such, it does not aim at reviewing the status of the field, at covering all possible ramifications of the approach or at presenting recent achievements and applications. The objective is to provide a modern account of the nuclear EDF formalism that is at variance with traditional presentations that rely, at one point or another, on a {\it Hamiltonian-based} picture. The latter is not general enough to encompass what the nuclear EDF method represents as of today. Specifically, the traditional Hamiltonian-based picture does not allow one to grasp the difficulties associated with the fact that currently available parametrizations of the energy kernel $E[g',g]$ at play in the method do not derive from a genuine Hamilton operator, would the latter be effective. The method is formulated from the outset through the most general multi-reference, i.e. beyond mean-field, implementation such that the single-reference, i.e. "mean-field", derives as a particular case. As such, a key point of the presentation provided here is to demonstrate that the multi-reference EDF method can indeed be formulated in a {\it mathematically} meaningful fashion even if $E[g',g]$ does {\it not} derive from a genuine Hamilton operator. In particular, the restoration of symmetries can be entirely formulated without making {\it any} reference to a projected state, i.e. within a genuine EDF framework. However, and as is illustrated in the present document, a mathematically meaningful formulation does not guarantee that the formalism is sound from a {\it physical} standpoint. The price at which the latter can be enforced as well in the future is eventually alluded to.Comment: 64 pages, 8 figures, submitted to Euroschool Lecture Notes in Physics Vol.IV, Christoph Scheidenberger and Marek Pfutzner editor

Integration geophysikalischer Daten in ein dreidimensionales geometrisches Untergrundmodell

Für den Raum Wolfsburg wird von dem GGA-Institut zusammen mit dem Niedersächsischen Landesamt für Bodenforschung ein 3D-Untergrundmodell entwickelt. Diese Pilotvorhaben findet in Zusammenarbeit mit der Volkswagen AG statt. Ein Ziel des Projekts ist es, dieses Modell ergänzend zu stratigraphischen Informationen aus Bohrungen auch mit geophysikalischen Daten aufzubauen

Integration geophysikalischer Daten in ein dreidimensionales geometrisches Untergrundmodell

Für den Raum Wolfsburg wird von dem GGA-Institut zusammen mit dem Niedersächsischen Landesamt für Bodenforschung ein 3D-Untergrundmodell entwickelt. Diese Pilotvorhaben findet in Zusammenarbeit mit der Volkswagen AG statt. Ein Ziel des Projekts ist es, dieses Modell ergänzend zu stratigraphischen Informationen aus Bohrungen auch mit geophysikalischen Daten aufzubauen