A Proof of Haag-Swieca's Compactness Property for Elastic Scattering States

 It is proved that in any massive relativistic quantum field theory satisfying two-particle asymptotic completeness, all the bounded energy components in the elastic two-particle range of all subsets of states which are excitations of the vacuum state by uniformly bounded observables localized in a given finite region of spacetime are compact in the Hilbert space of states. This result, which is in agreement with Haag-Swieca's conjecture, is also given a more precise form in terms of the rate of decrease of the ``N–dimensional thickness' (or approximation number) of such sets of states when N tends to infinity. A similar computation, valid at arbitrarily high energies, is also given for the massive free-field case. Received: 7 February 2003 / Accepted: 5 April 2003 Published online: 13 May 2003 Communicated by H. Araki, D. Buchholz and K. Fredenhagen     

Ni+Pd+Ga and Ni+Pd+in liquid alloys: Enthalpies of formation

In order to fill the evident gap in the thermodynamic data of nickel-palladium-gallium and nickel-palladium-indium ternary alloys, the enthalpies of formation of these systems in the liquid state have been determined. This was achieved by means of a very high temperature calorimeter (T<1800 K), using the direct drop method, and based on analogous measurements of the respective binary alloys previously published. Complete automation of the calorimeter led to a good precision even at the highest temperatures. The enthalpies of formation of the ternary liquid alloys were measured between 1400 and 1600 K on the whole composition range. As in the limiting binary systems, enthalpies of formation are negative and non temperature dependent at any composition.

---

Zusammenfassung Um die Lücke hinsichtlich thermodynamischer Daten von Nickel-Palladium-Gallium und Nickel-Palladium-Indium Legierungen zu füllen, wurden die Bildungsenthalpien dieser ternÄren Systeme im flüssigen Zustand bestimmt. Dies erfolgte mittels eines Kalorimeters für sehr hohe Temperaturen (T<1800 K), unter Verwendung der direkten Einwurfmethode auf der Basis früher veröffentlichter Messungen an den entsprechenden binÄren Systemen. Die Bildungsenthalpien der flüssigen ternÄren Legierungen wurden zwischen 1400 und 1600 K über den gesamten Zusammensetzungsbereich bestimmt. VollstÄndige Automation des Kalorimeters bewirkte hohe PrÄzision selbst bei den höchsten Temperaturen. Wie in den begrenzenden binÄren Systemen sind die Bildungsenthalpien negativ und bei allen Zusammensetzungen nicht temperaturabhÄngig.

     

Selective Uptake of Cylindrical Poly(2‐Oxazoline) Brush‐AntiDEC205 Antibody‐OVA Antigen Conjugates into DEC‐Positive Dendritic Cells and Subsequent T‐Cell Activation

To achieve specific cell targeting by various receptors for oligosaccharides or antibodies, a carrier must not be taken up by any of the very many different cells and needs functional groups prone to clean conjugation chemistry to derive well‐defined structures with a high biological specificity. A polymeric nanocarrier is presented that consists of a cylindrical brush polymer with poly‐2‐oxazoline side chains carrying an azide functional group on each of the many side chain ends. After click conjugation of dye and an anti‐DEC205 antibody to the periphery of the cylindrical brush polymer, antibody‐mediated specific binding and uptake into DEC205⁺‐positive mouse bone marrow‐derived dendritic cells (BMDC) was observed, whereas binding and uptake by DEC205^? negative BMDC and non‐DC was essentially absent. Additional conjugation of an antigen peptide yielded a multifunctional polymer structure with a much stronger antigen‐specific T‐cell stimulatory capacity of pretreated BMDC than application of antigen or polymer–antigen conjugate.     

Complex Angular Momentum Diagonalization of the Bethe-Salpeter Structure in General Quantum Field Theory

The Complex Angular Momentum (CAM) representation of (scalar) fourpoint functions has been previously established starting from the general principles of local relativistic Quantum Field Theory (QFT). Here, we carry out the diagonalization of the general t-channel Bethe-Salpeter (BS) structure of four-point functions in the corresponding CAM variable 5^t, for all negative values of the squared-energy variable t. This diagonalization is closely related to the existence of BS-equations for the absorptive parts in the crossed channels, interpreted as convolution equations with spectral properties. The production of Regge poles equipped with factorized residues involving Euclidean three-point functions appears as conceptually built-in in the analytic axiomatic framework of QFT. The existence of leading Reggeon terms governing the asymptotic behaviour of the four-point function at fixed t is strictly conditioned by the asymptotic behaviour of a g lobal Bethe-Salpeter kernel of the theory.     

Immobilization of dermatan sulphate on a silica matrix and its possible use as an affinity chromatography support for heparin cofactor II purification.

Dermatan sulphate (DS) is a glycosaminoglycan which catalyses specifically thrombin inhibition by a plasmatic inhibitor, Heparin cofactor II (HCII). DS was insolubilized on a silica matrix to study its interaction with HCII. The immobilization of DS was performed with a good yield on a silica previously coated with polysaccharides in order to neutralize the negatively charged silanol groups. The value of the affinity constant of insolubilized DS for HCII, measured by the adsorption isotherm, is consistent with the value obtained for soluble DS. The DS bound to the silica matrix was also tested as a chromatographic support for the purification of HCII from human plasma; the optimum conditions for HCII adsorption and desorption were determined. The eluted HCII was obtained with a good yield (21%) and with no contamination by antithrombin III, the other main plasmatic inhibitor of thrombin.     

Mesure des capacites calorifiques et des enthalpies de la solution solide AIN-SiC

The AlN-SiC solid solution was prepared by a reaction of powdered silicon, carbon and aluminium nitride at 2000°C. In the molar ratio range from 1 AlN -0 SiC to about 0.5 AlN -0.5 SiC high purity phases with wurtzite structure were obtained.Heat capacities of some mixtures were measured at constant pressure between 313 and 533 K, and also the enthalpy changes between 298 and 453 K. It was observed that addition of small amounts of silicon carbide to aluminium nitride resultedC _p and H values close to those of silicon carbide.

---

Zusammenfassung Durch die Reaktion von pulverisiertem Silizium, Kohlenstoff und Aluminiumnitrid bei 2000°C wurden AlN-SiC- Mischkristalle hergestellt. Im Molverhältnisbereich von 1 AlN - 0 SiC bis 0.5 A1N - 0.5 SiC erhielt man reine Phasen mit Wurtzit-Struktur. Im Temperaturbereich 313–533 K wurden Wärmekapazitäten bei konstantem Druck und im Temperaturbereich 298–453 K auch die Enthalpieänderungen einiger Gemische gemessen. Es konnte festgestellt werden, daß geringe Zusätze von Siliziumcarbid zu AluminiumnitridC _p und H-Werte verursachen, die denen von Siliziumcarbid sehr nahe stehen.

     

Particle Decays and Stability on the de Sitter Universe

We study particle decay in de Sitter space–time as given by first-order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the “phase space” coefficient exactly in the case of two equal particles produced in the disintegration. We show that for fields with masses above a critical mass m _c there is no such thing as particle stability, so that decays forbidden in flat space–time do occur here. The lifetime of such a particle also turns out to be independent of its velocity when that lifetime is comparable with de Sitter radius. Particles with mass lower than critical have a completely different behavior: the masses of their decay products must obey quantification rules, and their lifetime is zero.     

HPTLC Quantification of Some Flavonoids in Extracts of Satureja hortensis L. Obtained by Use of Different Techniques

JPC – Journal of Planar Chromatography – Modern TLC - A study of quantitative analysis of some flavonoids in Satureja hortensis L. extracts is presented. The HPTLC analyses were...     

Anti de Sitter Quantum Field Theory and a New Class of Hypergeometric Identities

We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the Källén-Lehmann representation of products of two Anti-de Sitter two-point functions. A rich mathematical structure emerges. We apply our results to study the decay of unstable Anti-de Sitter particles. The total amplitude is in this case finite and Anti-de Sitter invariant.