Measuring systems described by the integral operator on a plane, invariant under a group of plane motions, are studied. The problem of synthesis of the optimal measuring—computation system is solved. It is shown that the use of invariance makes it possible to reduce the problem on a plane to a onedimensional Fredholm equation on an interval.
Show AbstractA relationship between the Hamiltonian and the operator of motion in the Schwarzschild space is established. By means of a self-consistent specification of one-frequency vectors in the interior and exterior domains, a Hermitian Hamiltonian is constructed. It is shown that the well-posed Cauchy problem admits such a specification.
Show AbstractThe development of a new comprehensive method for computer-aided assessment of the state of patients with functional disorders in the digestive system that includes a preliminary diagnosis taking into account changes in the psycho-emotional system is considered. Results of the method's practical application are presented.
Show AbstractUsing session breaks in the IP networks as an example, a qualitative phase portrait of an ordinary second-order differential equation has been studied. Explicit dependences $P_L$ vs. $\lambda$, at which the session break takes place, have been theoretically and experimentally considered. The ways of eliminating these difficulties have been suggested.
Show AbstractThe discrete source method is extended to the case of polarized light radiation scattering by particles with extremal parameters. The scattering properties of various models of fibers are analyzed.
Show AbstractUsing the generalized t'Hooft—Veltman technique, the divergent part of the oneloop effective Yang—Mills action in a special gauge, containing the fourth powers of the ghost fields and admitting the addition of a BRST-invariant mass term, is calculated. The result is BRST-invariant and determines the relationship between the bare and renormalized mass, coupling constants, and the gauge parameter.
Show AbstractIn this paper part of the effective action that leads to parity breaking in the finite temperature $(2+1)$-dimensional quantum field theory with massive fermions on the background of a superposition of Abelian and non-Abelian gauge fields is calculated.
Show AbstractElectron heating in the crystal conduction band under high-power femtosecond laser pulses has been studied. It is demonstrated that the electron heating mechanism in the insulator conduction band based on multiple electron—photon— phonon scatterings may become ineffective in exciting some insulators (in particular, Csl) by ultrashort laser pulses with intensity higher than $10^{11}$ W/cm$^2$. To describe electron heating by these pulses to an energy of several tens of electron-volts, a mechanism that accounts for direct interbranch transitions in the conduction band is proposed.
Show AbstractUsing two independent physical methods (Rayleigh light scattering and electron paramagnetic resonance), the effect of lead, toxic heavy metal, on proteins in aqueous solutions (including blood serum proteins) was studied. A physical mechanism of interaction between heavy metal ions and charged biopolymers which is based on formation of strong bonds of metal ions with the surface of macromolecules is discussed. Based on the results obtained, a method to monitor natural liquid media pollution with heavy metals is proposed.
Show AbstractIn the Kubo formalism, a gigantic magnetoresistance (GMR) for two thin layers of ferromagnetic metals is calculated. The accounting for the equivalence of "vertex correction" and the effective electric field is proved. It is shown that the structure resistance consists of three addends: resistance due to bulk scattering and contact resistance at the metal—metal and metal—reservoir boundaries. It was found that the contact resistance depends essentially on the current-carrier spin and makes a noticeable contribution to the GMR.
Show AbstractThis is a polemic paper intended to argue against the erroneous opinion that the gravitational polarization effects in astrophysics are not important.
Show AbstractIn the modern view, Elbrus is a dormant volcano, whose geological structure should comprise a magma source and a magma chamber. Analysis of data on the Earth's crust deformations obtained using a Baksan laser interferometer from the Sternberg State Institute of Astronomy revealed characteristic frequencies that may be associated with the resonance features of the Elbrus volcano magma source.
Show AbstractThe regularized self-action energy for a linear source of electric and magnetic fields in the space-time of a thick cosmic string is calculated. It is shown that, at large distances from the string, the relevant expression transforms into that for the self-action energy in the space-time of an infinitely thin string. The introduction of the string finite thickness noticeably changes the dependence of the regularized energy on the deficit of the angle and geodesic distance between the string and the source.
Show Abstract
