Sbornik stateĭ v chestʹ Dmitrīi︠a︡ Aleksandrovicha Korsakova : po povodu sorokali︠e︡tīi︠a︡ ego uchenoĭ i pi︠a︡tidesi︠a︡tili︠e︡tīi︠a︡ ucheno-literaturnoĭ di︠e︡i︠a︡telʹnosti : istorīi︠a︡, istorīi︠a︡ literatury, arkheologīi︠a︡, i︠a︡zykovi︠e︡di︠e︡nīe filosofīi︠a︡, pedagogike = Mélanges Korsakoff : recueil de travaux, offert à M-r Dmitry Korsakoff, d-r et prof. émer. de l'Université de Kazan, à l'occasion du XL anniversaire de son professorat et de L ans d'activité comme savant et écrivain.

By D.V. Aĭnalov et al.

Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a theta modification of the Pauli equation). To this end, we consider the nonrelativistic limit of the theta-modified Dirac equation. To complete the consideration, we present a pseudoclassical model (a la Berezin-Marinov) for the corresponding nonrelativistic particle in the noncommutative space. To justify the latter model, we demonstrate that its quantization leads to the theta-modified Pauli equation. We extract theta-modified interaction between a nonrelativistic spin and a magnetic field from such a Pauli equation and construct a theta modification of the Heisenberg model for two coupled spins placed in an external magnetic field. In the framework of such a model, we calculate the probability transition between two orthogonal Einstein-Podolsky-Rosen states for a pair of spins in an oscillatory magnetic field and show that some of such transitions, which are forbidden in the commutative space, are possible due to the space noncommutativity. This allows us to estimate an upper bound on the noncommutativity parameter.

Classical noncommutative electrodynamics with external source

In a U(1)(*)-noncommutative gauge field theory we extend the Seiberg-Witten map to include the (gauge-invariance-violating) external current and formulate-to the first order in the noncommutative parameter-gauge-covariant classical field equations. We find solutions to these equations in the vacuum and in an external magnetic field, when the 4-current is a static electric charge of a finite size a, restricted from below by the elementary length. We impose extra boundary conditions, which we use to rule out all singularities, 1/r included, from the solutions. The static charge proves to be a magnetic dipole, with its magnetic moment being inversely proportional to its size a. The external magnetic field modifies the long-range Coulomb field and some electromagnetic form factors. We also analyze the ambiguity in the Seiberg-Witten map and show that at least to the order studied here it is equivalent to the ambiguity of adding a homogeneous solution to the current-conservation equation.

Gauge invariance and classical dynamics of noncommutative particle theory

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed; in particular, the motion in the constant magnetic field is studied in detail. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3299296]

Casimir interaction between a perfect conductor and graphene described by the Dirac model

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the quantum-field-theory approach and evaluate the leading-order diagram in a theory with 2+1-dimensional fermions interacting with 3+1-dimensional photons. Next, we consider an effective theory for the electromagnetic field with matching conditions induced by quantum quasiparticles in graphene. The first approach turns out to be the leading order in the coupling constant of the second one. The Casimir interaction for this system appears to be rather weak. It exhibits a strong dependence on the mass of the quasiparticles in graphene.

Consistency restrictions on maximal electric-field strength in quantum field theory

Quantum field theory with an external background can be considered as a consistent model only if backreaction is relatively small with respect to the background. To find the corresponding consistency restrictions on an external electric field and its duration in QED and QCD, we analyze the mean-energy density of quantized fields for an arbitrary constant electric field E, acting during a large but finite time T. Using the corresponding asymptotics with respect to the dimensionless parameter eET(2), one can see that the leading contributions to the energy are due to the creation of particles by the electric field. Assuming that these contributions are small in comparison with the energy density of the electric background, we establish the above-mentioned restrictions, which determine, in fact, the time scales from above of depletion of an electric field due to the backreaction.

One-loop energy-momentum tensor in QED with electriclike background

We have obtained nonperturbative one-loop expressions for the mean-energy-momentum tensor and current density of Dirac's field on a constant electriclike back-round. One of the goals of this calculation is to give a consistent description of backreaction in such a theory. Two cases of initial states are considered: the vacuum state and the thermal equilibrium state. First, we perform calculations for the vacuum initial state. In the obtained expressions, we separate the contributions due to particle creation and vacuum polarization. The latter contribution,, are related to the Heisenberg-Euler Lagrangian. Then, we Study the case of the thermal initial state. Here, we separate the contributions due to particle creation, vacuum polarization, and the contributions due to the work of the external field on the particles at the initial state. All these contributions are studied in detail, in different regimes of weak and strong fields and low and high temperatures. The obtained results allow us to establish restrictions on the electric field and its duration under which QED with a strong constant electric field is consistent. Under such restrictions, one can neglect the backreaction of particles created by the electric field. Some of the obtained results generalize the calculations of Heisenberg-Euler for energy density to the case of arbitrary strong electric fields.

Nilpotent noncommutativity and renormalization

We analyze renormalizability properties of noncommutative (NC) theories with a bifermionic NC parameter. We introduce a new four-dimensional scalar field model which is renormalizable at all orders of the loop expansion. We show that this model has an infrared stable fixed point (at the one-loop level). We check that the NC QED (which is one-loop renormalizable with a usual NC parameter) remains renormalizable when the NC parameter is bifermionic, at least to the extent of one-loop diagrams with external photon legs. Our general conclusion is that bifermionic noncommutativity improves renormalizability properties of NC theories.

Finite-temperature Casimir effect for graphene

We adopt the Dirac model for quasiparticles in graphene and calculate the finite-temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature, the Casimir interaction in such system is just one-half of that for two ideal conductors separated by the same distance. In this limit, a single graphene layer behaves exactly as a Drude metal. In particular, the contribution of the TE mode is suppressed, while the contribution of the TM mode saturates at the ideal-metal value. The behavior of the Casimir interaction for intermediate temperatures and separations accessible in experiments is studied in some detail. We also find an interesting interplay between two fundamental constants of graphene physics: the fine-structure constant and the Fermi velocity.

Translational incorporation of L-3,4-dihydroxyphenylalanine into proteins

An Escherichia coli cell-free transcription/translation system was used to explore the high-level incorporation Of L-3,4-dihydroxyphenylalanine (DOPA) into proteins by replacing tyrosine with DOPA in the reaction mixtures. ESI-MS showed specific incorporation of DOPA in place of tyrosine. More than 90% DOPA incorporation at each tyrosine site was achieved, allowing the recording of clean N-15-HSQC NMR spectra. A redox-staining method specific for DOPA was shown to provide a sensitive and generally applicable method for assessing the cell-free production of proteins. Of four proteins produced in soluble form in the presence of tyrosine, two resulted in insoluble aggregates in the presence of high levels of DOPA. DOPA has been found in human proteins, often in association with various disease states that implicate protein aggregation and/or misfolding. Our results suggest that misfolded and aggregated proteins may result, in principle, from ribosome-mediated misincorporation of intracellular DOPA accumulated due to oxidative stress. High-yield cell-free protein expression systems are uniquely suited to obtain rapid information on solubility and aggregation of nascent polypeptide chains.

Leistungsoptimierung von TiAIN-Verschleißschutzschichten für das Außenlängsdrehen mit Hartmetallwendeschneidplatten

PVD-Beschichtungsverfahren, Arc-PVD, Vakuum-Lichtbogenverdampfung, TiAIN-Schichten, Verschleißschutzschichten, Zerspanung

Shostakovich i el violí : el Concert per a violí núm. 1 op. 77 i els Preludis op. 34

L’objectiu del projecte final titulat Shostakovich i el violí és l’estudi de la vida, el context històric i l’obra del cèlebre compositor rus Dmitri Shostakovich, parant una especial atenció en dues de les seves composicions: el Concert per a violí núm. 1 opus 77 i els Preludis per a piano opus 34 (arranjats per a violí i piano per Dmitri Tsyganov). La metodologia usada en l’elaboració del treball ha consistit en la recerca d’informació a través de biografies de Shostakovich, reculls de les seves memòries, records de persones pròximes al compositor, articles i cartes publicades per ell, així com estudis o anàlisis de les seves obres musicals. La conclusió extreta és que l’obra de Shostakovich està íntimament lligada amb el context històric en el qual va viure, és a dir, amb la seva època, tal com es pot apreciar tant en la seva escriptura com en el contingut emocional de les seves obres.

Phylogeny of the kinetoplastida: taxonomic problems and insights into the evolution of parasitism

To further investigate phylogeny of kinetoplastid protozoa, the sequences of small subunit (18S) ribosomal RNA of nine bodonid isolates and ten isolates of insect trypanosomatids have been determined. The root of the kinetoplastid tree was attached to the branch of Bodo designis and/or Cruzella marina. The suborder Trypanosomatina appeared as a monophyletic group, while the suborder Bodonina was paraphyletic. Among bodonid lineages, parasitic organisms were intermingled with free-living ones, implying multiple transitions to parasitism and supporting the `vertebrate-first hypothesis'. The tree indicated that the genera Cryptobia and Bodo are artificial taxa. Separation of fish cryptobias and Trypanoplasma borreli as different genera was not supported. In trypanosomatids, the genera Leptomonas and Blastocrithidia were polyphyletic, similar to the genera Herpetomonas and Crithidia and in contrast to the monophyletic genera Trypanosoma and Phytomonas. This analysis has shown that the morphological classification of kinetoplastids does not in general reflect their genetic affinities and needs a revision.

Síntesis intermatricial y comparación de nanopartículas metálicas de Pd y Co soportadas en resinas catiónicas y aniónicas

Esta memoria de investigación es producto del trabajo experimental que se realizó con resinas de intercambio iónico para la síntesis intermatricial de nanopartículas metálicas de Co y Pd. Los estudios que se realizaron correspondieron a la iniciación en esta modalidad de síntesis de nanopartículas. En ellos se contemplaron las propiedades intrínsecas de la resina como: la capacidad de intercambio iónico, y funcionalidad química, tanto antes como después de la síntesis. Uno de los objetivos es que la resina no pierda ninguna de sus propiedades originales, sino que gane más versatilidad. La importancia que tienen en la actualidad los materiales nanométricos inspira a su modificación y nuevas formas de producción. Con esta investigación se inicia el trabajo de cara a los estudios doctorales. Aquí se estudia la aplicación de las nanopartículas de paladio y cobalto soportadas en resinas de intercambio iónico. Las nanopartículas de paladio tienen aplicación en el área de catálisis, y en su síntesis intermatricial, se consigue un catalizador heterogéneo, que brinda gran facilidad de recuperarlo y proceder con varios ciclos catalíticos. Así mismo, con el cobalto se pretendió otorgar propiedades ferromagnéticas, de manera que el proceso de separación de la resina de los medios de reacción, sea tan fácil como la aplicación de un campo magnético o pasar un imán sobre el lugar en cuestión.

Activación de espuma de poliuretano con nanopartículas de Ag y evaluación de sus propiedades catalíticas

Este trabajo se basa en la elaboración de nanocompuestos (con nanopartículas de Ag) con propiedades catalíticas efectivas aplicando la Síntesis Intermatricial sobre espuma de poliuretano comercial como matriz estabilizadora y medio de reacción. Encontrándose que las espumas muestran actividad catalítica en la reducción del p-nitrofenol con NaBH4 en experimentos en batch y experimentos con flujo, siendo siempre necesario un tiempo de activación que dé inicio a la reacción catalítica. En experimentos de catálisis con flujo, fue posible realizar ciclos de catálisis (hasta 5) manteniéndose la eficiencia catalítica del material y su reutilización. También se observó que al aumentar el caudal de trabajo aumentaba la eficiencia y disminuía el tiempo de activación.