Features of Magneto-Optical Resonances in an Elliptically Polarized Traveling Light Wave

The parameters of nonlinear absorption magneto-optical resonances in the Hanle configuration have been studied as functions of the ellipticity of a traveling light wave. It has been found that these parameters (amplitude, width, and amplitude-to-width ratio) depend strongly on the polarization of the light wave. In particular, the resonance amplitude can increase by more than an order of magnitude when the polarization changes from linear to optimal elliptic. It has been shown that this effect is associated with the Doppler frequency shift for atoms in a gas. The theoretical results have been corroborated in experiments in Rb vapor.Comment: 5 page

System development of estimated figures of volume production plan

The relevance of this problem is primarily determined by a necessity of improving production efficiency in conditions of innovative development of the economy and implementation of Import Substitution Program. The purpose of the article is development of set of criteria and procedures for the comparative assessment of alternative volume production plans and choice of optimum alternative. The leading method of the study of the problem is economic-mathematical modeling, providing the variability of volume plan development on the basis of different factors and variables, which reflect actual operating standards of a particular study subject. The results of the study: In the article, economic-mathematical model for development of aggregate production plan was presented, on the basis of which alternatives was produced, estimated figures, characterizing efficiency of derived alternatives, were justified, the key factors, which determine a specific set of variables and constraints, were considered. The article materials can be useful for experts, which are specialized in planning of production and distribution of the production program in choosing optimum alternative of aggregate production plan. © 2016 Brazhnikov et al

Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves

We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal fluid with free surface written in canonical variables, using expansion of the Hamiltonian in powers of nonlinearity of up to fourth order terms. We show that due to nonlinear interaction processes a stationary energy spectrum close to $|k| \sim k^{-7/2}$ is formed. The observed spectrum can be interpreted as a weak-turbulent Kolmogorov spectrum for a direct cascade of energy.Comment: 4 pages, 5 figure

Decay of the turbulent cascade of capillary waves on the charged surface of liquid hyrdrogen.

We study the free decay of capillary turbulence on the charged surface of liquid hydrogen. We find that the decay begins from the high frequency spectral domains of the surface oscillations and is of a quasi-adiabatic character. The characteristic relaxation time of the whole turbulent cascade is close to the viscous damping time for capillary waves of frequency equal to the driving frequency

The Form Factors and Quantum Equation of Motion in the sine-Gordon Model

Using the methods of the 'form factor program' exact expressions of all matrix elements are obtained for several operators of the quantum sine-Gordon model alias the massive Thirring model. A general formula is presented which provides form factors in terms of an integral representation. In particular charge-less operators as for example the current of the topological charge, the energy momentum tensor and all higher currents are considered. In the breather sector it is found the quantum sine-Gordon field equation holds with an exact relation between the 'bare' mass and the normalized mass. Also a relation for the trace of the energy momentum is obtained. All results are compared with Feynman graph expansion and full agreement is found.Comment: TCI-LaTeX, 21 pages with 2 figur

Towards the Construction of Wightman Functions of Integrable Quantum Field Theories

The purpose of the ``bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, this program is mainly illustrated in terms of the sine-Gordon and the sinh-Gordon model and (as an exercise) the scaling Ising model. We review some previous results on sine-Gordon breather form factors and quantum operator equations. The problem to sum over intermediate states is attacked in the short distance limit of the two point Wightman function for the sinh-Gordon and the scaling Ising model.Comment: LATEX 18 pages, Talk presented at the '6th International Workshop on Conformal Field Theories and Integrable Models', in Chernologka, September 200

Features of Developing Management Decisions in the Waste Management Process

В настоящей статье рассматривается предприятие нефтедобывающего комплекса, в ходе деятельности которого возникла проблема, связанная с тем, что полигон, на который ранее предприятие вывозило свои отходы не получило лицензию на обращение с данным видом отхода. Возникла задача по выбору нового полигона. При этом нужно разработать принцип принятия решений для определения целесообразности использования одного полигона или всех представленных с точки зрения оптимизации затрат на размещение отходов.This article examines an oil production complex enterprise, during whose activities a problem arose due to the fact that the landfill to which the enterprise previously exported its waste did not receive a license to handle this type of waste. The task arose of choosing a new testing ground. In this case, it is necessary to develop a decision-making principle to determine the feasibility of using one landfill or all presented ones from the point of view of optimizing the costs of waste disposal