On free nets over Minkowski space

27 pages, no figures.-- MSC2000 codes: 46L60, 81T05.MR#: MR1369988 (96m:81132)Zbl#: Zbl 0883.46040Using standard results on CAR- and CCR-theory and on representation theory of the Poincaré group a direct way to construct nets of local C*-algebras satisfying Haag-Kastler's axioms is given. No explicite use of any field operator or of any concrete representation of the algebra is made. The nets are associated to models of mass m ≥ 0 and arbitrary spin or helicity. Finally, Fock states satisfying the spectrality condition are specified.First author (H.B.) was partly supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Second author (M.J.) was supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Third author (F. Ll.) was supported by a grant of the Spanish Ministry of Education/CICYT.Publicad

Twisted duality of the CAR-Algebra

We give a complete proof of the twisted duality property M(q)'= Z M(q^\perp) Z* of the (self-dual) CAR-Algebra in any Fock representation. The proof is based on the natural Halmos decomposition of the (reference) Hilbert space when two suitable closed subspaces have been distinguished. We use modular theory and techniques developed by Kato concerning pairs of projections in some essential steps of the proof. As a byproduct of the proof we obtain an explicit and simple formula for the graph of the modular operator. This formula can be also applied to fermionic free nets, hence giving a formula of the modular operator for any double cone.Comment: 32 pages, Latex2e, to appear in Journal of Mathematical Physic

Исследования гидравлических сопротивлений при движении в трубах золошлаковых тампонажно- закладочных суспензий

Експериментально досліджено залежність гідравлічного опору від швидкості руху та концентрації золошлакових суспензій при течії по трубах. Встановлена критична швидкість руху концентрованих гідросумішей.Dependence of hydraulic resistance is experimentally set from the rate of movement of ash-slag suspensions at a flow on pipes. The critical speed of motion of the concentrated slurries is set

First cross-border outbreak of foodborne botulism in the European Union associated with the consumption of commercial dried roach (Rutilus rutilus)

Botulism outbreaks due to commercial products are extremely rare in the European Union. Here we report on the first international outbreak of foodborne botulism caused by commercial salt-cured, dried roach (Rutilus rutilus). Between November and December 2016, an outbreak of six foodborne botulism type E cases from five unrelated households was documented in Germany and Spain. The outbreak involved persons of Russian and Kazakh backgrounds, all consumed unheated salt-cured, dried roach-a snack particularly favored in Easter-European countries. The implicated food batches had been distributed by an international wholesaler and were recalled from Europe-wide outlets of a supermarket chain and other independent retailers. Of interest, and very unlike to other foodborne disease outbreaks which usually involves a single strain or virus variant, different Clostridium botulinum strains and toxin variants could be identified even from a single patient's sample. Foodborne botulism is a rare but potentially life-threatening disease and almost exclusively involves home-made or artisan products and thus, outbreaks are limited to individual or few cases. As a consequence, international outbreaks are the absolute exception and this is the first one within the European Union. Additional cases were likely prevented by a broad product recall, underscoring the importance of timely public health action. Challenges and difficulties on the diagnostic and epidemiological level encountered in the outbreak are highlighted.The Consultant Laboratory for Neurotoxin-producing Clostridia (Botulism, Tetanus) was funded by the German Federal Ministry of Health and the Robert Koch Institute.S

Twisted duality of the CAR-Algebra

We give a complete proof of the twisted duality property M(q) 0 = e Z M(q ? ) e Z of the (self-dual) CAR--Algebra in any Fock representation. The proof is based on the natural Halmos decomposition of the (reference) Hilbert space when two suitable closed subspaces have been distinguished. We use Modular Theory and techniques developed by Kato concerning pairs of projections in some essential steps of the proof