A note on N=4 supersymmetric mechanics on K\"ahler manifolds

The geometric models of N=4 supersymmetric mechanics with (2d.2d)_{\DC}-dimensional phase space are proposed, which can be viewed as one-dimensional counterparts of two-dimensional N=2 supersymmetric sigma-models by Alvarez-Gaum\'e and Freedman. The related construction of supersymmetric mechanics whose phase space is a K\"ahler supermanifold is considered. Also, its relation with antisymplectic geometry is discussed.Comment: 4 pages, revte

Increasing the efficiency of heating systems through the use of direct contact heat exchange

You should leave 8 mm of space above the abstract and 10 mm after the abstract. The heading Abstract should be typed in bold 9-point Arial. The body of the abstract should be typed in normal 9-point Times in a single paragraph, immediately following the heading. The text should be set to 1 line spacing. The abstract should be centred across the page, indented 17 mm from the left and right page margins and justified. It should not normally exceed 200 words

Первая краевая задача для уравнения теплопроводности с нагрузкой дробного порядка. II

В статье рассмотрена первая краевая задача для нагруженного уравнения теплопроводности в четверти плоскости. Нагруженное слагаемое - след производной дробного порядка на многообразии x=t. Решение задачи сводится к исследованию особого интегрального уравнения Вольтерра второго рода с несжимаемым ядром. Решение характеристического уравнения методом регуляризации показало, что особое интегральное уравнение Вольтерра имеет непустой спектр при 1/2≤β<1. Доказана теорема осуществовании нетривиального решения однородной краевой задачи в неограниченной области

On the boundary value problem for the vibration and wave processes in two-dimensional environs

In the article research of the third boundary value problem for the two - dimensional equation of free membrane vibrations is presented. The solution of the original differential operator is found in the form of a combination of the linearly independent system of orthonormal eigenfunctions on the given interval. Using the spectral decomposition for sufficiently smooth function, one can obtain the exact analytical representation of the deflection function for investigated problem in two - dimensional environs. The deflection function characterizes a membrane deviation from the equilibrium position

Experimental Study of Coherent Summation of Radiation from Two Widely Aperture Pulsed

Emission of two high-power pulsed CO2-lasers with a transverse discharge at atmospheric pressure in the active medium and the output beam aperture 100х100 mm, united by a joint unstable telescopic reso-nator, was coherently summarized under conditions of real ground-level trackon the screen surface, which was remote from output mirror of the laser at a distance of 263 m. Output Brewster windows of laser cu-vettes were manufactured from single-crystal plates of sodium chloride which had a diameter of 300 mm. Mirrors for resonator and optical circuit were manufactured from oxygen-free copper. Active medium - a mixture of gases: CO2: N2: He in the ratio 1 : 2 : 3. Laser pulse duration is 5 microseconds. During the ex-periment, when summing on the screen 2-laser beams at the lowest possible convergence angle of rays, the interference pattern was registered. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3610

Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry

It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher spin fields in flat and AdS_4 N=1 superspace. The tensorial extension of the AdS_4 superspace is proved to be a supergroup manifold OSp(1|4). The model is manifestly invariant under an OSp(N|8) (N=1,2) superconformal symmetry. As a byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n) groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to a GL(2n) rotation. This property is crucial for carrying out the quantization of the particle model on OSp(1|4) and getting the higher spin field dynamics in super AdS_4, which can be performed in a way analogous to the flat case.Comment: LaTeX, 21 page (JHEP style), misprints corrected, added comments on the relation of results of hep-th/0106149 with hep-th/9904109 and hep-th/9907113, references adde

Photoionization in the presence of circularly polarized fundamental and odd-order harmonic fields

We present a study of the photoelectron spectra for the ionization process driven by counterrotating and corotating circularly polarized fundamental and odd-order harmonic fields. The main features of the spectra, such as symmetric lobed structures, are understood using simple arguments based on the strong field approximation (SFA) picture of ionization. A deviation from this picture is, most notably, the presence of the low-energy structures (LES) in the spectra. We show that the Rydberg states populated as a result of the combined absorption of the photons from the fundamental and harmonic fields are responsible for the origin of LES. © 2017 American Physical Society1111Nsciescopu

On the solution of boundary value problems by the spectral element method

In spectral element method approximate solution of the original differential operator is found in the form of a combination of the linearly independent system of orthogonal functions on the unit interval. Using the spectral decomposition for sufficiently smooth functions, one can obtain an exponential rate of convergence of the approximate solution to the exact solution and the approximation error will decrease exponentially as n grows. In the article the application of spectral element method to the solution of the boundary value problem for the Poisson equation is presented

Gauge Invariance and Anomalous Dimensions of a Light-Cone Wilson Loop in Light-Like Axial Gauge

Complete two-loop calculation of a dimensionally regularized Wilson loop with light-like segments is performed in the light-like axial gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator. We find an expression which {\it exactly} coincides with the one previously obtained for the same Wilson loop in covariant Feynman gauge. The renormalization of Wilson loop is performed in the \MS-scheme using a general procedure tailored to the light-like axial gauge. We find that the renormalized Wilson loop obeys a renormalization group equation with the same anomalous dimensions as in covariant gauges. Physical implications of our result for investigation of infrared asymptotics of perturbative QCD are pointed out.Comment: 24 pages and 4 figures (included), LaTeX style, UFPD-93/TH/23, UPRF-93-366, UTF-93-29

Пельвиометрия с помощью приминения ядерно-магнитного резонанса при субклинических формах узкого таза и определения риска в случае дистоции пречиков

Military Medical Academy, Department of radiology, St-Petersburg, Russia, Federal Center of blood, heart and endocrinology by VA. Almazov, St-Petersburg, RussiaВо многих странах точность измерений размеров наружного таза сомнительна. Распространенность подтипов субклинически узкого костного таза еще более затрудняет диагностику. Цель: установить акушерские МР пельвиометрические и фетометрические референсные значения при оценке риска дистоции плечиков плода перед родами и сравнить МР пельвиометрию с наружными методами измерения. Методы: обследованы 40 женщин с одноплодной беремонностью в сроке 38-39 недель. МР пепьвиометрия производилась на высокопольном 1,5 Т MRT. Все субклинические типы узкого костного таза были разделены на 3 степени. Проводилась также фетометрия. Риск дистоции определялся как минимальный, возможный и высокий. Результаты: Абсолютно узкий таз был выявлен у 3 женщин. Диаметр костного таза, измеренный на МРТ, был нормальным у 14 (35%) женщин. Двенадцати женщинам (30%) со 2 степенью узкого таза и/или крупным плодом (>4000 г) при отсутствии других противопоказаний было рекомендовано родоразрешение через естественные родовые пути, но 6 из них выполнено КС. Заключение: низкая частота выявления субклинически узкого костного таза при наружных измерениях может приводить к запоздалой интранатальной диагностики этой патологии. МР пельвиометрия выявляла субклиническое сужение костного таза. Дополнительные данные фетометрии помогли оценить риск дистоции плечиков перед родами