Classical and Quantum Nonultralocal Systems on the Lattice

We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix . A nonultralocal quantum algebras on the lattices for these systems are constructed.For some class of such algebras an ultralocalization procedure is proposed.The technique of the modified Bethe-Anzatz for these algebras is developed.This technique is applied to the nonlinear sigma model problem.Comment: 33 pp. Latex. The file is resubmitted since it was spoiled during transmissio

Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case

The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov reduction procedure to q-difference operators associated with arbitrary semisimple Lie algebras. This leads to a new elliptic deformation of the Lie bialgebra structure on the associated loop algebra. The related classical r-matrix is explicitly described in terms of the Coxeter transformation. We also present a cross-section theorem for q-gauge transformations which generalizes a theorem due to R.Steinberg.Comment: 19 pp., AMS-LaTeX. The paper replaces a temporarily withdrawn text; the first part (written by E. Frenkel, N. Reshetikhin, and M. A. Semenov-Tian-Shansky) is available as q-alg/970401

Theory and practice of unit creation for technogenic material compacting

No Abstrac

Schwinger particle production: rapid switch off of the external field versus dynamical assistance

We consider the process of electron-positron pair production in the presence of strong electric backgrounds being rapidly switched on and off and examine the total particle yield. For sufficiently sharp field profiles, the particle number can be substantially enhanced. It is demonstrated that this enhancement is quite similar to the phenomenon of dynamical assistance by a weak high-frequency field superimposed on a strong background. Both these mechanisms are analyzed by means of exact numerical computations and the locally-constant field approximation. We identify the time scale of the switching profile leading to the pair-production enhancement and argue that the particle yield is highly unlikely to be increased by shaping the switch off of realistic laser pulses. On the other hand, we confirm that it is feasible to observe the dynamically assisted Schwinger effect by adding a rapidly oscillating field to a strong electric background.Comment: 9 pages, 5 figures, 1 tabl

Investigation of the properties of quantum-dimensional semiconductor particles A3B5 by scanning probe microscopy, obtained by liquid chemical etching

The study was carried out with the financial support of the Russian Foundation for Basic Research in the framework of scientific projects 17-07-00407-а and 17-07-00139

Multiplicative slices, relativistic Toda and shifted quantum affine algebras

We introduce the shifted quantum affine algebras. They map homomorphically into the quantized $K$-theoretic Coulomb branches of $3d\ {\mathcal N}=4$ SUSY quiver gauge theories. In type $A$, they are endowed with a coproduct, and they act on the equivariant $K$-theory of parabolic Laumon spaces. In type $A_1$, they are closely related to the open relativistic quantum Toda lattice of type $A$.Comment: 125 pages. v2: references updated; in section 11 the third local Lax matrix is introduced. v3: references updated. v4=v5: 131 pages, minor corrections, table of contents added, Conjecture 10.25 is now replaced by Theorem 10.25 (whose proof is based on the shuffle approach and is presented in a new Appendix). v6: Final version as published, references updated, footnote 4 adde

THE INFLUENCE OF DENTAL IMPLANTATION ON THE STATE OF THE BALANCE OF ANTIOXIDANTPROOXIDANT SYSTEM OF ORAL LIQUID IN PATIENTS WITH PARTIAL ADENTIA

Aim. The purpose of the study is to evaluate the influence of treatment of partial adentia by means of the dental implantation over the changes in antioxidant-prooxidant balance of oral liquid.Materials and methods. The study was performed on 40 testees divided into 2 groups: the control group (conditionally healthy people) and the test group (patients with adentia of 1-4 teeth). During the initial examination all the testees underwent the sampling of oral liquid. The oral liquid of patients was sampled at three stages of treatment: at the suture release after the dental implantation, at the installation of the healing abutment and at the installation of orthopedic constructions. The concentration of the products of oxidative modifications of biomolecules was determined in oral liquid as well as the state of the system of antioxidant protection.Results. As a result of a study, it was revealed that the antioxidant activity decreased by 20,7% against the background of the increase in intensity of oxidative processes in oral liquid of patients with partial adentia by 1,8 times. During the treatment it was revealed that the tendency of the gradual increase in general antioxidant potential to the control indices and the decrease in oxidative stress in oral liquid took place. The activity of superoxide dismutase and catalase in oral liquid of patients of the 2nd group sampled at the initial examination was higher than the control indices by 71,6% and 53,4% respectively. At the second stage of the treatment the activity of superoxide dismutase remained increased by 59,1% while the catalase activity decreased by 2,4 times up to the indices 1,6 times lower than the control indices. At this stage it may be noted that the catalase insufficiency is relative which can lead to the increased concentration of hydrogen peroxide against the background of the increased activity of superoxide dismutase. At the 3rd and the 4th stages of the treatment the catalase activity increased by 25,9% in comparison with the indices of the previous stage of the study while the activity of superoxide dismutase decreased to the control indices. The correlation of changes in enzymatic activity of antioxidant protection was close to one.Conclusion. The imbalance of antioxidant-prooxidant system at early stages of treatment may provoke the complications development that’s why the attention must be paid to the perspectives of possible antioxidant correction. In general, the results of the study proved the absence of negative influence of the material used in the dental implant on metabolic systems of oral liquid

Using of Magnetron Sputtering for Biocompatible Composites Creating

Biocompatible composites obtained using the magnetron sputtering for the production of minimally invasive implantation medical devices (stents) were investigated. Nano- and microdimensional surface layers of Ta, Ti, Ag, and Cu on flat and wire NiTi, Cu, Ti, and SiO2 substrates were created. The phase composition, surface morphology, and the layer-by-layer composition were investigated on an X-ray diffractometer, SEM, and Auger spectrometer. It was shown that the thickness and the structure of surface layers were affected by the sputtering distance, time, power, and the bias voltage at the substrate. The presence of the transition layer that contains both substrate and target elements and provides high adhesion of the surface layer to the substrate has been demonstrated. The material was tested for corrosion resistance under static conditions by dipping into solutions with various acidities (pH from 1.68 to 9.18) for 2 years, static mechanical properties, and biocompatibility in vitro and in vivo. A slight corrosive dissolution was observed only in a medium with a pH of 1.56. Dissolution in the other media is absent. An increase in strength and plasticity in comparison with substrate was attained depending on the nature of the sputtered substance and substrate. Toxicity of samples has not been revealed

Subsurface disorder and electro-optical properties of proton-exchanged LiNbO3 waveguides produced by different techniques

It has been established, that proton-exchanged LiNbO3 waveguides have a marked subsurface layer with structural disorder inducing degradation of electro-optical properties of these waveguides. At the same time, such a subsurface disorder is found to be less pronounced in soft proton-exchanged (SPE) waveguides in comparison with annealed proton-exchanged (APE) ones. The experimental samples of phase modulators fabricated by SPE technique exhibit a better electro-optical efficiency compared to the LiNbO3 modulators produced by the standard and improved APE techniques