Temperature dependence of the Raman-scattering intensity in quartz crystals with artificially introduced defects
Temperature dependence of the Raman-scattering intensity in quartz crystals with artificially introduced defects
L.P. Osipova, M.A. Smirnova, M.V. Novakovskaya
It is established that the temperature dependence of the Raman-scattering intensity in synthetic quartz irradiated by fast neutrons (with no alluminum impurities or the corresponding color centers) is anomalous, as in natural irradiated crystals including aluminum defect tetrahedra. It is suggested that amplification of the anharmonicity of the lattice vibrations of the crystal is associated with the formation of a large amount of structural point defects (and corresponding color centers) of nonimpurity type under the action of fast neutrons.
Show AbstractCluster hypernuclei
Cluster hypernuclei
N.N. Kolesnikov, V.A. Kopylov, A.V. Kolesov
Multiparameter variational calculations of the hypernuclei $^9_{\Lambda}Be (\alpha+ \alpha + \Lambda)$ and $^1_{\Lambda \Lambda}Be (\alpha +\alpha +\Lambda + \Lambda)$ and the quasi-molecular hypernuclear system $\alpha - \Lambda - \alpha$ with parallel orientation of the deuteron spins are performed with semirealistic potentials. The clustering effect in hypernuclei is investigated, as well as the influence of the form of the $\Lambda \Lambda$ potential on the binding energy of the double hypernuclei.
Show AbstractFive-dimensional approaches and the theory of the hydrogen atom
Five-dimensional approaches and the theory of the hydrogen atom
Yu.S. Vladimirov, V.V. Kislov
The O(4) symmetry of the Schr$\stackrel{..}{o}$dinger equation for the hydrogen atom discovered by Fock, is discussed. The difficulties of physical interpretation of the result using the Fock procedure for determining the stereographic projection in momentum space is indicated. A generalization of the stereographic projection is suggested such that the O(4) symmetry of the hydrogen atom has a clear physical interpretation within the framework of a unified five-dimensional theory of gravitation, electromagnetism, and charged matter. In passing, the problem of the form of the dependence on the fifth coordinate in the given theory is solved.
Show AbstractInteraction of gradient flow with the density-discontinuity layer
Interaction of gradient flow with the density-discontinuity layer
N.K. Shelkovnikov, S.M. Novochinskii
The model of a two-layer liquid is employed in investigating the features of circulation in the tidal region, the spatial variability in the structure of the density-discontinuity layer, in the presence of velocity shear and pressure gradient, and also the entrainment of denser liquid from the lower to the upper layer.
Show AbstractNew proof of the convergence of the Laplacian series at physical surfaces of the planets
New proof of the convergence of the Laplacian series at physical surfaces of the planets
N.A. Chuikova
It is proven that the external gravitational potential of a planet may be written as a series in spherical functions - $V(r,\phi,\lambda)=f \sum_{n=0}^{\infty} \frac{1}{r^{n+1}}\int \mu (r’,\phi’, \lambda’)P_n(cos \gamma)r’^{n+2} dr’ d sin \phi’ d\lambda’$, uniformly converging everywhere on and outside the physical surface of the planet, with a normalized nonlinear dispersion of the relief height conforming to the condition $\bar{D}_J<\frac{1+\hat{H}/R}{\beta J \sqrt{2 J+1}}\left( \frac{R-\Delta}{R+\hat{H}} \right)^J$, where $\Delta>0$ is the maximum depth of the relief with respect to the mean sphere radius R; $\hat{Н}$ is the height; the density of the surface masses (lying above the sphere passing through the observation point $r, \phi, \lambda$) is an analytical function of the coordinates.
Show AbstractCanonical-transformation method in the problem of potential scattering
Canonical-transformation method in the problem of potential scattering
Yu.G. Pavlenko
It is shown that the formulation of the scattering problem in canonical variables significantly simplifies the calculations and allows universal integration methods based on the theory of canonical transformations to be used.
Show AbstractReconstructing a surface with near-Lambert optical properties from a stereographic pair
Reconstructing a surface with near-Lambert optical properties from a stereographic pair
A.L. Antsiferov, Yu.P. Pyt'ev
A model of the formation of images of Lambert surfaces and those with near-Lambert optical properties is considered. The possibility of identifying points on stereographic photographs which are images of a single point of the surface is noted, and a method is proposed. The problem of reconstructing a surface with near-Lambert optical properties from a stereographic pair is considered.
Show AbstractChoice of coupling parameters in frequency-stabilizing systems
Choice of coupling parameters in frequency-stabilizing systems
I.I. Minakova, S.A. Lebedinskii
The results of theoretical calculation of the dynamic characteristics of a self-oscillatory system with different types of coupling between the loops are given; conditions with minimum stability are determined, and the corresponding losses in stabilization are estimated as a function of the regeneration capacity.
Show AbstractThe basic algebraic laws of dipole combinations of dipoles and regular sequences of these combinations
The basic algebraic laws of dipole combinations of dipoles and regular sequences of these combinations
V.I. Shestakov
The basic algebraic laws of dipole combinations are taken to be such that any set of DP satisfying these laws is an Abelian semigroup relative to the operations of parallel and series combination of DP. A characteristic feature of this algebra is that a neutral element of any of these semigroups plays the role of an all-absorbing element of another one. From the basic laws of this algebra, analogous laws of the algebra of regular sequences of dipole combinations of dipoles may be deduced. For neutral and all-absorbing elements of each of the two semigroups considered, the algebra investigated is found to be Boolean. An analogous assertion is also valid for the algebra of regular sequences of dipole combinations of DP.
Show AbstractSynchrotron radiation of electrons in inhomogeneous magnetic fields. The case of azimuthal inhomogeneity
Synchrotron radiation of electrons in inhomogeneous magnetic fields. The case of azimuthal inhomogeneity
V.Ch. Zhukovskii, O.E. Shishanin
The influence of induced oscillations on the characteristics of synchrotron radiation is considered. Formulas that are accurate to the first quantum correction are obtained for the intensity of components of the linear polarization of the radiation, taking account of both betatron and induced oscillations of the electron beam. It is noted that distortion of the magnetic median surface must be taken into account in experiments with synchrotron radiation.
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