Nonlinear representations of the Lie algebra of the SU(3) group (nondegenerate series) are obtained, invariants of the representation thus found are constructe d, and it is shown that the maximum dimensionality of the irreducible representation is eight.
Show AbstractThe critical dimensions of superconducting specimens (film of finite thickness, filament with square cross section, a cube) with respect to fluctuations of the phase of the ordering parameter are estimated within the framework of the Ginzburg- Landau theory by calculating the phase multiplier contained in correlation function G (r1, r2).
Show AbstractThe theory of perturbations is investigated for statistical systems in the absence of the small interaction parameter. A new form is suggested for matching conditions defining the parameters of the sample Greenian in iterating nonlinear propagator equations. Superharmonic, semiharmonic, and pseudoharmonic approximations for a molecular crystal are considered as examples.
Show AbstractVarious types of radioluminescence inception curves during irradiation are exami ned. Analytic expressions explaining observed behavior are obtained from general equations describing the kinetics of variation in concentration of localized charges.
Show AbstractThe passing of the Qr = 2 integral resonance is established from numerical model- ling of complete equations of motion for the previously unexplored 2≤Qr≤2,28 range of radial betatron frequencies. An explanation of the mechanism of passing of integral resonances (Qr = 2,3,4,...) in the cyclotron is given.
Show AbstractThis paper presents a development of a theory of the gravitational field in a special, Lorentz-group preserving Finsler space. At the same time the structure of the local space-time anisotropy, accessible in principle to a direct check is also investigated. The covariant law of energy-momentum conservations of the gravity field in the tangent space is found to be integrable.
Show AbstractA study of the characteristics of proton-chain decay of the states of giant dipole resonance on Mg26, Ni58, and Ni60 nuclei is described. It is shown that the specific features of the results can be attributed to shell effects in the decay of analog states of the nuclei. Cross sections of photoneutron reaction on a number of nuclei of the ld-2s shell are also analyzed. It is shown that specific features of photoneutron cross sections in the region of light nuclei can also be interpreted within the framework of the concept of isospin splitting of giant dipole resonance.
Show AbstractThis paper examines anisotropic diffraction of light on ultrasonic waves in the presence of several diffraction Bragg maxima. Features of light scanning attending the scattering in several maxima are investigated. The dependence of the effectiveness of diffraction on the strength and frequency of the acoustic guiding wave is calculated for each of the maxima and the scanning frequency ranges and the resolving power as compared with isotropic diffraction are determined.
Show AbstractAn optical polarization method suggested previously by the authors is employed for investigating internal stresses in oriented NaCl monocrystals arising due to high-frequency ultrasonic oscillations. The range of stress amplitudes within which Hooke's law applies is established. It is found that the threshold amplitude of strain at which motion and multiplication of dislocations starts depends on the crystallographic orientation of the specimen. Data are obtained on the stress relaxation times in specimens plastically deformed by ultrasound.
Show AbstractA rigorous expression for the second (frequency) derivative of the reflected monochromatic wave for a parabolic layer is obtained and investigated. It is concluded that there exists a finite, maximum dispersion blurring of a quasimonochromatic signal and that there exists a group lag relative to the critical frequency. Results of calculations for characteristic ionospheric conditions are presented.
Show AbstractGeneral expressions for random-field induced relaxation parameters are derived. These expressions, which are suitable for high-resolution arbitrary nuclear magnetic resonance (NMR) spectra, are specified as functions of the coefficients of vectors of state. It is shown by means of these calculations that the use of the superoperator method together with the operator method allows a substantial simplification of computations.
Show AbstractIt is shown that when allowance is made for the fact that the vertical or thickness - wise distribution of barriers separating the slow states from the semiconductor volume is normal (Gaussian) it is possible to obtain their distribution as a function of the relaxation time g(τ), which can be approximated, over a quite wide range of τ, by the relationship g(τ)~τ^(-α), where α≅1.
Show AbstractAnalysis of the operation of dislocation sources in the vicinity of slip bands with allowance for irregularity of the internal-stress field is carried out by computer simulation. A qualitative relationship is established between the source - triggering voltage, number of active sources, average distance between them, and the parameters of the internal-stress field.
Show AbstractA method of constant-parameter surfaces, which makes it possible to determine the parameters of a three-resonator frequency stabilization system, needed for obtaining the maximum stabilization coefficients and for determining the range of possible variations in parameters at a given stabilization factor is suggested. Regions on the surface of the given stabilization factor, where the frequency curve is single-, triple-, and quintuple-valued, are examined, as is the region of the energy-criterion instability. Holding and aperture bands are calculated and their dependence on the Q factor of the stabilizing tuned network and the coupling between the networks are investigated.
Show Abstract
