Некоторые основные положения универсальной теории пространства (УТП)

Main principles of the universal theory of space are in detail stated: a principle of fractal similarity, a principle of an absolute coordination (coherence) and a principle of presence of base constants.Подробно изложены основные принципы универсальной теории пространства: принцип фрактального подобия, принцип абсолютной согласованности (когерентности) и принцип наличия базовых констант

Концепция универсальной стабилизации гиперкомплексных биосистем произвольного типа

Effects of correction of biosystems, including a human body, by formation of a steady resonance between the active centers of a biological organism are considered.Рассмотрены эффекты коррекции биосистем, включая организм человека, путем формирования устойчивого резонанса между активными центрами биологического организма

Некоторые основные положения универсальной теории пространства (УТП)

Main principles of the universal theory of space are in detail stated: a principle of fractal similarity, a principle of an absolute coordination (coherence) and a principle of presence of base constants.Подробно изложены основные принципы универсальной теории пространства: принцип фрактального подобия, принцип абсолютной согласованности (когерентности) и принцип наличия базовых констант

Inverse medium problem for a singular contrast

We consider an inverse medium problem in two- and three-dimensional cases. Namely, we investigate the problem of reconstruction of unknown compactly supported refractive index (contrast) from L-2 with a fixed positive wave number. The proof is based on the new estimates for the Green-Faddeev function in L-infinity space. The main goal of this work is to prove a uniqueness result in the two- and three-dimensional cases and to discuss some possible constructive methods for solving the problem. Finally, we present some numerical examples to demonstrate the results in two dimensions. Published under license by AIP Publishing.Peer reviewe

Wave packet evolution approach to ionization of hydrogen molecular ion by fast electrons

The multiply differential cross section of the ionization of hydrogen molecular ion by fast electron impact is calculated by a direct approach, which involves the reduction of the initial 6D Schr\"{o}dinger equation to a 3D evolution problem followed by the modeling of the wave packet dynamics. This approach avoids the use of stationary Coulomb two-centre functions of the continuous spectrum of the ejected electron which demands cumbersome calculations. The results obtained, after verification of the procedure in the case atomic hydrogen, reveal interesting mechanisms in the case of small scattering angles.Comment: 7 pages, 8 Postscript figure

Topological Coherent Modes for Nonlinear Schr\"odinger Equation

Nonlinear Schr\"odinger equation, complemented by a confining potential, possesses a discrete set of stationary solutions. These are called coherent modes, since the nonlinear Schr\"odinger equation describes coherent states. Such modes are also named topological because the solutions corresponding to different spectral levels have principally different spatial dependences. The theory of resonant excitation of these topological coherent modes is presented. The method of multiscale averaging is employed in deriving the evolution equations for resonant guiding centers. A rigorous qualitative analysis for these nonlinear differential equations is given. Temporal behaviour of fractional populations is illustrated by numerical solutions.Comment: 14 pages, Latex, no figure