Simple mean-field theory for a zero-temperature fermionic gas at a Feshbach resonance

We present a simple two-channel mean-field theory for a zero-temperature two-component Fermi gas in the neighborhood of a Feshbach resonance. Our results agree with recent experiments on the bare-molecule fraction as a function of magnetic field [Partridge, Phys. Rev. Lett. 95, 020404 (2005)]. Even in this strongly coupled gas of 6Li, the experimental results depend on the structure of the molecules formed in the Feshbach resonance and, therefore, are not universal.     

Synthesis of highly substituted aniline and o-phenylenediamine derivatives containing various substitution patterns

The Diels-Alder reactions of a variety of 2H-pyran-2-ones 1 with alkynes 2 yielding highly substituted aniline and o-phenylenediamine derivatives 4 with novel (and in some cases known but very rare and useful) structural patterns are presented. The effect of substituents of both reactants on the reaction rates was investigated. The reactions were carried out under thermal conditions, as well as at high pressures.     

A linear relativistic model of processes with causal faster-than-light effects

To get a synthesis of causal faster-than-light effects and signals that do not propagate faster than light by using local, covariant, linear equations of motion, we propose the following hypothesis. Free fields that propagate signals according to the Klein-Gordon, Dirac, Proca or Maxwell equations, are actually describing only smoothed-out, average properties of underlying causal transport processes of point like entities with arbitrary four-momenta, the states of which are described by a scalar, spinor or four-vector field that satisfies a local, covariant, linear transport equation. An example of such a linear, causal, covariant transport process is shown to display causal faster-than-light effects, to propagate signals not faster than light, and to contain the Klein-Gordon equation as a limiting case. An analogous transport model displays causal, four-vector, faster-than-light effects, and also distinctive four-vector, long-range and short-range effects that do not propagate faster than light.     

The synthesis of 2-substituted azino-3-(β-D-ribofuranosyl)-5-carboxymethylenethiazolidin-4- ones

2-(1-Isopropylidene)azino-3-β-D-ribofuranosyl-5- methoxycarbonylmethylenethiazolidin-4-one (IV) and 2-(1-methylbenzilidene)azino-3-β-D-ribofuranosyl-5-carboxymethylenethiazolidin-4-one were prepared by independent synthesis utilizing either acid catalyzed fusion of 2-(1-isopropylidene)azino-5-methoxycarbonylmethylenethiazolidin-3(H)-4-one (II) with 1-O-acetyl-2,3,5-tri-O-benzoyl-β-D-ribofuranose, silylation procedure with 2,3,5-tri-O-benzoyl-D-ribofuranosyl bromide or by cyclization of new isopropylidene and/or methylbenzilidene derivatives (VII) of 4-(2,3,5-tri-O-benzoyl-β-D-ribofuranosyl)thiosemicarbazide (VI) with maleic anhydride and subsequent methylation. The synthetic approach has unambigously established the glycosilation site as well as anomeric configuration, which was additionally derived from pmr spectral data.     

Synthesis of some N-substituted isonicotinamides

A one-pot transformation of some cyclic 1,3-dicarbonyls 1 with N-(isonicotinoyl)glycine 2 and one-carbon synthons in acetic anhydride to the corresponding N-substituted isonicotinamides (pyridine-4-carbox-amides) 7-9 containing a fused pyran-2-one ring is described. Compound 8 was further converted with some nitrogen-containing nucleophiles either to the corresponding quinoline- 2,5 -diones 10-11 or 5-hydra-zonobenzopyran-2-ones 14-15. Under more severe conditions the compound 8 gave with hydrazine 5-hydrazonoquinoline derivative 12 or even 13 . Hydrazoic acid transformed compound 8 to the pyrano-[3,2-c]azepine system 16 . Diazotization of 1-amino derivative 10 gave deaminated product 11.     

Sediment-laden oscillatory flow in an idealized porous media

Sediment transport and retardation processes within a porous media are modeled using a simple conceptual model. The actual porous media is represented as a regular network of pores. The flow in a single, two-dimensional network laying in the vertical plane is assumed to be representative of the flow in porous media as a whole. The only mechanism for sediment retardation considered here is the settling of sediment in horizontal pores. Assuming laminar flow conditions in each pore, analytical expressions for the conductivity and the rate of sediment deposition in a steady flow are obtained for the case of perfectly regular network, in which all pore diameters and lengths are equal. The effect of randomness in pore diameters is investigated in numerical experiments on randomized networks. The results of the steady sediment flow analysis are applied to the oscillatory-flow problem in a quasi-steady fashion. A quantitative expression for the volume of sediment deposited in one oscillation cycle is obtained. It is beleived that this simple conceptual model can be used to explain wave-induced sediment enrichment in Arctic coastal ice covers.     

Synthesis and transformations of some pyrido[2,3-d]pyrimidines

A new synthetic approach for pyrido[2,3-d]pyrimidine 3-oxides and other pyrido[2,3-d]pyrimidines has been developed. This bicyclic system readily undergoes ring opening to give a variety of products, depending on the reagent and reaction conditions.

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Synthesen und Umwandlungen einiger Pyrido[2,3-d]pyrimidine

Zusammenfassung Synthesen von Pyrido[2,3-d]pyrimidin-3-oxiden und einigen anderen Pyrido[2,3-d]pyrimidinen werden beschrieben. Das bicyclische System reagiert leicht unter Ringöffnung, wobei entsprechend den Reaktionsbedingungen und Reagenzien verschiedene Produkte entstehen.