Unique characterization of the Bel-Robinson tensor

We prove that a completely symmetric and trace-free rank-4 tensor is, up to sign, a Bel-Robinson type tensor, i.e., the superenergy tensor of a tensor with the same algebraic symmetries as the Weyl tensor, if and only if it satisfies a certain quadratic identity. This may be seen as the first Rainich theory result for rank-4 tensors.Comment: extended version, 13 pages, shorter version published in Class.Quant.Gra

Cranial nerve injuries after carotid artery surgery. A prospective study of 663 operations

Objective:To establish the incidence of cranial nerve injuries caused by carotid artery surgery.Methods:During the years 1982 to 1992, 689 carotid artery operations were performed at Malmö General Hospital. Of these 656 were pre- and postoperatively examined at the Department of Phoniatrics concerning the function of the cranial nerves IX, X, and XII.Results:There was injury to one or more of the examined nerves after 75 operations (11.4%). In 70 (10.7%) operations the hypoglossal nerve was injured, in eight (1.2%) the recurrent laryngeal nerve, in two (0.3%) the glossopharyngeal nerve and in two (0.3%) the superior laryngeal nerve. Seven patients complained of postoperative hoarseness, but had no injuries. One hypoglossal and one recurrent nerve injury was permanent. Nerve injury was more frequent in operations performed with a shunt (p = 0.05), with patch closure (p = 0.01) and by a junior surgeon (p = 0.05).Conclusion:In a prospective series, the incidence of cranial nerve injuries after carotid surgery was significant but the vast majority were reversible

Two dimensional Sen connections and quasi-local energy-momentum

The recently constructed two dimensional Sen connection is applied in the problem of quasi-local energy-momentum in general relativity. First it is shown that, because of one of the two 2 dimensional Sen--Witten identities, Penrose's quasi-local charge integral can be expressed as a Nester--Witten integral.Then, to find the appropriate spinor propagation laws to the Nester--Witten integral, all the possible first order linear differential operators that can be constructed only from the irreducible chiral parts of the Sen operator alone are determined and examined. It is only the holomorphy or anti-holomorphy operator that can define acceptable propagation laws. The 2 dimensional Sen connection thus naturally defines a quasi-local energy-momentum, which is precisely that of Dougan and Mason. Then provided the dominant energy condition holds and the 2-sphere S is convex we show that the next statements are equivalent: i. the quasi-local mass (energy-momentum) associated with S is zero; ii.the Cauchy development $D(\Sigma)$ is a pp-wave geometry with pure radiation ($D(\Sigma)$ is flat), where $\Sigma$ is a spacelike hypersurface whose boundary is S; iii. there exist a Sen--constant spinor field (two spinor fields) on S. Thus the pp-wave Cauchy developments can be characterized by the geometry of a two rather than a three dimensional submanifold.Comment: 20 pages, Plain Tex, I

Quasi-local mass in the covariant Newtonian space-time

In general relativity, quasi-local energy-momentum expressions have been constructed from various formulae. However, Newtonian theory of gravity gives a well known and an unique quasi-local mass expression (surface integration). Since geometrical formulation of Newtonian gravity has been established in the covariant Newtonian space-time, it provides a covariant approximation from relativistic to Newtonian theories. By using this approximation, we calculate Komar integral, Brown-York quasi-local energy and Dougan-Mason quasi-local mass in the covariant Newtonian space-time. It turns out that Komar integral naturally gives the Newtonian quasi-local mass expression, however, further conditions (spherical symmetry) need to be made for Brown-York and Dougan-Mason expressions.Comment: Submit to Class. Quantum Gra

A polarizable interatomic force field for TiO2_2 parameterized using density functional theory

We report a classical interatomic force field for TiO$_2$, which has been parameterized using density functional theory forces, energies, and stresses in the rutile crystal structure. The reliability of this new classical potential is tested by evaluating the structural properties, equation of state, phonon properties, thermal expansion, and some thermodynamic quantities such as entropy, free energy, and specific heat under constant volume. The good agreement of our results with {\em ab initio} calculations and with experimental data, indicates that our force-field describes the atomic interactions of TiO$_2$ in the rutile structure very well. The force field can also describe the structures of the brookite and anatase crystals with good accuracy.Comment: Accepted for publication in Phys. Rev. B; Changes from v1 include multiple minor revisions and a re-write of the description of the force field in Section II

Dientes de Abelisauridae y Carcharodontosauridae cf. (Theropoda, Dinosauria) del Campaniano-Maastrichtiano Formación Presidente Prudente (Suroeste Provincia de São Paulo, Brasil)

Isolated theropod teeth referable to Abelisauridae indet., and Carcharodontosauridae cf., from the Campanian-Maastrichtian Presidente Prudente Formation of the western São Paulo State, Brazil, are described. They are compared to the Late Cretaceous Gondwanan theropod dinosaur teeth and their affinities are discussed. These teeth are significant because carnivorous dinosaur remains are poorly known from the Late Cretaceous beds of Western São Paulo State except for a few isolated elements.Se describen dientes aislados de terópodos referidos a Abelisauridae indet. y Carcharodontosauridae cf., procedentes de la Formación Presidente Prudente del Campaniano-Maastrichtiano, en el oeste del estado de San Pablo, Brasil. Los materiales son comparados con dientes de dinosaurios gondwánicos del Cretácico tardío, y cuyas afinidades son aquí discutidas. Estos dientes de dinosaurios carnívoros son significativos debido a que su presencia es pobremente conocida en el Cretácico tardío del oeste del estado del San Pablo, excepto por unos pocos huesos

Kondo decoherence: finding the right spin model for iron impurities in gold and silver

We exploit the decoherence of electrons due to magnetic impurities, studied via weak localization, to resolve a longstanding question concerning the classic Kondo systems of Fe impurities in the noble metals gold and silver: which Kondo-type model yields a realistic description of the relevant multiple bands, spin and orbital degrees of freedom? Previous studies suggest a fully screened spin $S$ Kondo model, but the value of $S$ remained ambiguous. We perform density functional theory calculations that suggest $S = 3/2$. We also compare previous and new measurements of both the resistivity and decoherence rate in quasi 1-dimensional wires to numerical renormalization group predictions for $S=1/2,1$ and 3/2, finding excellent agreement for $S=3/2$.Comment: 4 pages, 4 figures, shortened for PR