# Search articles

## Calculation of Atomic Integrals with Exponentialy Correlated Functions

A new type of correlation atomic integrals occurring in variation energy calculations of three-particle Coulomb systems is studied. A integrand in them along with an interparticle distance linear term under an exponent additionally contains a quadratic term. It is demonstrated that these integrals are analytically expressed through Faddeeva function of a pure imaginary argument and its derivatives. A stable and fast algorithm for calculation of Faddeeva function derivatives to the twentieth order is developed. The test values of the studied special functions are provided.

## Dynamics of Dual Phase

This article presents dynamics of dual phase, which is connected with dual character of dions – hypothetical particles possessing both electrical and magnetic charges. For description of dual phase the set of equations is received from condition that Maxwell equations conserve their electrical character under dual transformations, what corresponds to effective electrical charge of dion. Some special solutions of these equations for example in vacuum, and in field of electrical dipole are found.

## Vacuum Creation of Charged Particles: Some Integral Relations

Dependence on the wave length and the periodical electric field strength of the densities of particle number and energy of the created from vacuum particle-antiparticle plasma of the fermi and bose types had investigated. Analytical and numerical calculations had fulfilled in the leading approximation for the case of rather small fields in comparison with the Schwinger critical field Ec = m2/e.

## Current Abilities Investigation Ultrastucture Cells of Microorganisms Using Method Scanning Probe Microscopy

This review presents data about current application of scanning probe microscopy in microbiology research. Methods of scanning probe microscopy belong used to study the ultrastructural and morphological features of microorganisms, their mechanical properties et al. The review also present data about the development methods of scanning probe microscopy to study microorganisms and their communities.

## Mathematical Modeling of Endothelium-Induced Smooth Muscle Cell Relaxation

By means of computer modeling we investigate the characteristics of the local mechanisms of regulation of contractile activity of smooth muscle cells. Influence of the endothelium is modeled as the increase of nitric oxide (NO) concentration and subsequent production of cyclic quanosine monophosphate (cGMP). The latter affects the balance of intracellular calcium concentration and, ultimately, the contractile activity of the cell.

## A Complex Approach for the Study of Biofilms of Microorganisms by Atomic Force Microscopy

The biofilms of* Staphylococcus aureus* and* Escherichia coli* have been investigated by atomic force microscopy (AFM). The usage of complex approach of semi-contact AFM mode has shown that the *S. aureus* and* E. coli *biofilms represent an organized community of microorganisms. Semicontact error mode and phase imaging mode investigation of extracellular matrix of S. aureus and E. coli biofilms, confirms dimensions of bacteria and biofilms.

## The Conservation Laws and the Densities of Electromagnetic Field Energy and Momentum in Dispersive Media

New general nonstationary balance equations for energy and momentum densities of field–matter system based on rigorous nonstationary approach for their definitions with dependence from the field creation prehistory have been obtained. Also the transport velocities of these densities have been derived. The concrete examination and detailed consideration have been performed for simplest dispersion law which is defined by the conductivity connected with the dissipation.

## IR Spectra of Cyclohexanol, Structural-Dynamic Models of Molecule

In wide temperature range IR spectra of cyclohexanol in different phase state (plastic phase, crystal phases II, III) have been measured in range 600–3600 см–1. Using density functional method B3LYP/6-31G structural – dynamic models of conformers of cyclohexanol molecule, which differs from each other by orientation of hydroxyl group relatively carbonic ring and cyclohexan, have been constructed. The energy, structure, dipole moments, polarizabilities and the frequencies of the normal modes in harmonic approximation and IR intensities have been calculated.

## Synchronous Dynamics of Nephrons Ensembles

In this work, the phenomenon of synchronization of oscillations in the dynamics of nephronic ensembles is studied. It is shown that a large number of structural units on the kidney's surface participate in the formation of synchronous clusters. It is stated that the cluster's size changes in time and the frequency locking for rhythmic processes in the cooperative dynamics of nephrons occurs only during some parts of experimental recordings.

## Non-Stationary Coherent Population Trapping in Frequency-Modulated Fields

Coherent population trapping (CPT) resonance formation is modeled numerically in a three-level Λ-system with one of the near-resonance fields being frequency-modulated. The model is based on density matrix equations in RW approximation with atomic relaxation properly taken into account. Slow modulation is shown to be equivalent to CW excitation with the frequency changed point by point.

## Spatio-Temporal Dynamics of Modulated cw Laser Beam in Spatial-Extended Nonlinear Medium

On the basis of spatio-temporal numerical model the dynamics of frequency-modulated cw laser beam propagating in resonance conditions is investigated. At modulation periods comparable with the atomic relaxation times the time and frequency dependence of the output intensity exhibits the manifestations of delayed medium response and resonance self-action. Time dependence of output intensity and spot size are measurement parameters. On the basis of phase portraits and power spectrum analysis we found a different dynamical regimes.

## Angarmonic Shift of Lines in Modelling Calculations of Vibrational Spectra for Carbonic Acid Dimer with Hydrogen Bond

Using by DFT/B3LYP methods scheme of value for angarmonic shift of vibrational lines in carbonic acid monomer and dimmer is described.

## Explicit Solutions of the Maxwell−Einstein Equations. II

## Quasipotential Method of Spectrum Exotic Atoms

Fine and superfine splitting energy levels of exotics atoms positronium and anti–hydrogen is investigated in low order. It is showed that Formula Fermi for spectrum exotics atoms is generally. Individually property they spectroscopy is discussed. Live time is calculated of positronium.

## Model of the Processes Nanostructure Formation during Plasma Spraying Hydroxyapatite Porous-Powder Coatings

We offer a physical model of the process nanostructure formation during plasma spraying hydroxyapatite coatings and described the thermodynamics of heating particle in the plasma torch. We analyzed thermal processes on the base and the formation of thermal fields in the system particle-base by plasma spraying. Possibly that the formation of amorphous coatings, consisting of submicron particles, happened because shear through by contact with the material and base and nanosized crystals appear as a result of very fast cooling (quenching) of the submicron structures.

## Why the Refractive Index Couldn't Be Negative

## The Dynamic Model of Termoelastic Properties on the Base of Anharmonize Oscillation Atoms

The role of the temperature dependence of tension rigidity and coefficient of linear expand in estimation the structure changes of an elastic medium on the base of analyse behaviour an anthropy is shown in terms of a model representation of an elastic rod as one-dimensional chains of oscillators.

## Electromagnetic Interaction for Muonium and Muonic Hydrogen

The quasipotential approach variants for investigation of the exotic atoms spectra for muonium and muonic hydrogen are discussed. Similarity of exotic atoms spectra is used for build–up the correct perturbation theory. Dependence of fine shifts on normalizing multipliers is investigated.

## Plasma Nanostructuring of Polymer Track Membranes Surface for Antiglaucomatous Surgery

Experimental results of fabrication and implantation of nanostructured track membranes as a drainage for refractory glaucoma surgery are presented. For nanostructuring of the membrane surface, a treatment by air plasma was applied.

## On Solving the Low-Dimensional Boundary Value Problems of Quantum Mechanics by Kantorovich Method - Reduction to Ordinary Differential Equations

The calculation scheme for solving the elliptic boundary problem by Kantorovich method for impurity states in models of quantum dots, wires and wells in the effective mass approximation with parabolic confinement potential of harmonic oscillator and infinitely-high walls is presented.