Using the Bogolyubov group variables, the gravitational field quantization scheme on the classical background is presented.
Show AbstractThe finite element method application to calculating the waveguide systems is demonstrated with a study of a special matching-edge waveguide transition between rectangular and coplanar waveguides.
Show AbstractTo calculate the eigenvalues of the Laplace operator of the boundary-value problem describing the natural acoustic oscillations of the sphere with a non-self-adjoint boundary condition of the third kind, the method of reduction to the Cauchy problem is applied.
Show AbstractTunnel asymptotics for the ground state wave function of a system of bosons with binary interaction is constructed. For various relations of parameters similar to the Bogolyubov relation in the theory of superfluidity, two possible cases are realized, i. е., either the ground state is space-uniform, or there exist two different asymptotic states with a symmetry between them. The latter may be interpreted as an analog of vortex flows in the theory of superfluidity. Using the Maslov quasiclassical methods, the exponentially small energy splitting of excited states is calculated.
Show AbstractThe skew derivative problem outside the cuts on a plane for the Helmholtz equation has been studied. The solutions to this equation satisfy the principle of maximum. The existence and uniqueness of the solution has been proved. An integral representation for the solution in the form of potentials, the density in which is determined from an unambiguously solvable system of integral equations, has been obtained.
Show AbstractIt is shown that, neglecting the contribution of the gravitational field of a substance to the energy—momentum tensor of this substance, the complete energy of a system of two (or more) nonrelativistic bodies determined by the Hilbert-Einstein equations contains the energy of the gravitational repulsion of these bodies rather than the energy of their Newton attraction (as it should). If this contribution (determined covariantly) is taken into account, no contradictions with the Newton statement of the problem of two (or more) bodies arise. Some consequences of this contribution are given; one of them is the appearance of an equilibrium equation for the external field.
Show AbstractThe results of the measurement of angular $p$-$\gamma$-correlations and analysis of the mechanism of the $^{12}$C$(\alpha,p\gamma)^{15}$N reaction are presented. Even components of the spin tensor of the density matrix for the state $3/2^-$ (6.32 MeV) of a 15N nucleus for proton exit angles from 30 to 160° are recovered. It is shown that the mechanism of stage-by-stage transfer of a heavy cluster with account of a delay in the interaction is important for the description of the reaction correlation characteristics.
Show AbstractThe method of coupled kinetic equations is applied to the problem of computing partial (allowed with respect to a charge state) energy and angular distributions of multiply charged fast ions passing through a rarefied medium in the presence of magnetic field.
Show AbstractViolation of the charged particle adiabatic motion in a geomagnetic field described by the IGRF model is considered. A relationship between the adiabatic motion boundary and geographic longitude is found.
Show AbstractThe ray-tracing equation for a weak electromagnetic wave propagating in an intense laser radiation field has been found. The rays have been demonstrated to undergo scattering as a result of nonlinear electrodynamic interaction; namely, they shift along the laser beam propagation direction and bend in the perpendicular plane.
Show AbstractThe possibility of coupling a double-loop stimulated Brillouin scattering (SBS) mirror with a solid-state laser cavity has been experimentally established. Retaining the single-mode transverse intensity distribution, a substantial rise of the output power of the laser has been attained. The advantage of the double-loop SBS mirror over the ordinary mirrors excited in a single beam pass through the nonlinear laser medium has been experimentally demonstrated.
Show AbstractProduction of porous alumina (PA) layers by electrolytic anodizing of aluminum foil at room temperature and studies into their structural and optical properties are discussed. Birefringence in such layers is measured and compared with the theoretical value calculated in the effective-medium model. At wavelengths comparable with the period of the PA structure, a photonic band gap is observed, changing its position as the angle of incidence of the probe radiation on the layer is varied.
Show AbstractThe Faraday effect in water, water—alcohol and Н$_2$О + D$_2$O solutions is studied. A nonmonotonic temperature dependence of the Н$_2$О magnetooptical anomaly factor is established which is associated with heterogeneous structure of water. In Н$_2$О + D$_2$O solutions, the additivity law for the Verdett constant is obeyed. The restructuring of water—alcohol systems depending on the ethanol concentration $C_{\bf C_2H_5OH}$causes the Faraday effect nonlinear dependence on $C_{\bf C_2H_5OH}$.
Show AbstractThe hopping transition rate governing the phonon-associated conductivity in superlattices with vertical disorder has been calculated, and the temperature dependence of an important hopping transport theory parameter, namely, the preexponential factor (i.e., the "frequency of hopping attempts") in the expression for the transition rate obtained. It has been demonstrated that the frequency of hopping attempts can strongly depend on temperature, the dependence varying from quadratic (at high temperatures within the classical phonon statistics domain) to linear at low temperatures.
Show AbstractThe problem of particle motion in Vaidya space that describes the gravitational field of stars emitting spherically symmetric massless particles has been solved. The laws governing nonradial motion of massive and massless particles in such a field have been identified. The problem has been solved in parametric form.
Show AbstractFor the fast-rotating slightly compressed three-axis solid body (the Earth), approximate equations of rotation have been formulated and solved. The solution obtained is compact and highly accurate. Fast rotation provides a possibility of reducing the problem of finding equatorial components of the angular velocity of rotation of a body with low second compression to the problem of the two-axis body rotation with changed dynamic compression value.
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