Wave Functions and Energy Terms of the SCHR\"Odinger Equation with Two-Center Coulomb Plus Harmonic Oscillator Potential

Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form.Comment: 4 pages, no figures, LaTeX, submitted to PR

Intelligent OFDM telecommunication system. Part 3. Anti-eavesdropping and anti-jamming properties of system, based on many-parameter wavelet and Golay transforms

In this paper, we aim to investigate the superiority and practicability of many-parameter Fourier transforms (MPFT) from the physical layer security (PHY-LS) perspective. We propose novel Intelligent OFDM-telecommunication system (Intelligent-OFDM-TCS), based on MPFT. New system uses inverse MPFT for modulation at the transmitter and direct MPFT for demodulation at the receiver. The purpose of employing the MPFTs is to improve the PHY-LS of wireless transmissions against to the wide-band anti-jamming communication. Each MPFT depends on finite set of independent parameters (angles), which could be changed independently one from another. When parameters are changed, multi-parametric transform is also changed taking form of a set known (and unknown) orthogonal (or unitary) transforms. We implement the following performances as bit error rate (BER), symbol error rate (SER), the Shannon-Wyner secrecy capacity (SWSC) for novel Intelligent-MPWT-OFDM-TCS. Previous research has shown that the conventional OFDM TCS based on discrete Fourier transform (DFT) has unsatisfactory characteristics in BER, SWSC and in anti-eavesdropping communications. We study Intelligent-MPWT-OFDM-TCS to find out optimal values of angle parameters of MPFT optimized BER, SWSC, anti-eavesdropping effects. Simulation results show that the proposed Intelligent OFDM-TCS have better performances than the conventional OFDM system based on DFT against eavesdropping. © 2019 IOP Publishing Ltd. All rights reserved

Quantum tops as examples of commuting differential operators

We study the quantum analogs of tops on Lie algebras $so(4)$ and $e(3)$ represented by differential operators.Comment: 24 p

Spectra of Doubly Heavy Quark Baryons

Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form. Using those formulas, the energy spectra of doubly heavy baryons with various quark compositions are calculated analytically.Comment: 19 pages, latex2e, published at PRC61(2000)04520

Operator method in solving non-linear equations of the Hartree-Fock type

The operator method is used to construct the solutions of the problem of the polaron in the strong coupling limit and of the helium atom on the basis of the Hartree-Fock equation. $E_0=-0.1085128052\alpha^2$ is obtained for the polaron ground-state energy. Energies for 2s- and 3s-states are also calculated. The other excited states are briefly discussed.Comment: 7 page

Many factor mimo-filters

Исследуется эффективность модифицированных многофакторных (би-, три- и четырех-латеральных) MIMO-фильтров для серых, цветных и гиперспектральных изображений. Обычные билатеральные фильтры осуществляют взвешенное усреднение соседних пикселей. Веса включают две компоненты: пространственную и радиометрическую. Первая компонента учитывает геометрическое расстояние между центральным пикселем маски и его локальными соседями. Второй компонент учитывает радиометрическое расстояние между центральным пикселем маски и его локальными соседями. В этом классическом алгоритме центральный пиксель маски играет определяющую роль в конечном результате фильтрации. Если он искажен, то и результат фильтрации будет искаженным. Этот факт определяет первую модификацию: центральный пиксель заменяется его любой сглаженной версией, полученной на основе соседних пикселей. Вторая модификация использует матрично-значные веса. Они включают четыре компоненты: пространственную, радиометрическую, межканальную и радиометрическую межканальную. Четвертый вес учитывает радиометрическое расстояние между центральным пикселем и межканальными соседними пикселями

Effects of non-resonant interaction in ensembles of phase oscillators

We consider general properties of groups of interacting oscillators, for which the natural frequencies are not in resonance. Such groups interact via non-oscillating collective variables like the amplitudes of the order parameters defined for each group. We treat the phase dynamics of the groups using the Ott-Antonsen ansatz and reduce it to a system of coupled equations for the order parameters. We describe different regimes of co-synchrony in the groups. For a large number of groups, heteroclinic cycles, corresponding to a sequental synchronous activity of groups, and chaotic states, where the order parameters oscillate irregularly, are possible.Comment: 21 pages, 7 fig

The Evolution of the «America» Concept Representation within the Framework of the American Photographic Discourse of the XX сentury

The present article is devoted to the analysis of the concept America as exemplified by the nominative paradigm of the American photographic discourse. The authors presume that the practical significance of the present article consists of the applicability of research results during the Practical English and American Studies classes due to the full language immersion to the linguocultural worldview of the USA by virtue of such photographs qualities as illustrative purpose and authenticity. The relevance of research is determined by the necessity of investigating the influence that the American photographic discourse has on the artistic and social-political spheres of society life. The aim of the present article is to study the constituents of America concept from the point of view of linguosynergetic approach interpreted as examination of the dynamic language system over a long period of time. The authors analyze the American photographic discourse as a complex communicative phenomenon, examine the interaction and interinfluence of the pictorial art and photography as part of the American artistic tradition. The authors analyze the semantic peculiarities of the America macro-concept and also carry out research regarding the structure of Area, Human, Architecture, Environment, History, Culture micro-concepts, which actualize the America macro-concept. The authors conclude that the nominative paradigm of the American photographic discourse is characterized by a high degree of anthropocentricity, personal photographers interest in the new objects of research (Hi-Tech, Human / Nude), searching the new forms of artistic photography. The evolution of the nominative paradigm results in decrease of the qualitative rate of Racism and The Great Depression concepts representatives as a result of the objective socio-historic events