R e g u l a r p a p e r s

Moscow University Physics Bulletin 1970. **25**. N 3. P. 1

A method is derived for calculating traiectory probabilities for a Brownian particle in configuration space and phase space on the basis of general principles of ibb's statistical mechanics. The method is freed of the usual theoretical limitations (i.e., a special form of the random process, a lack of correlation in the impulsive forces, etc.) and is applicable to various types of physical systems, including systems displaying an aftereffect. The method is illustrated for various examples of linear systems.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 7

Mutual diffusion in the Nb-Zr system was studied with a Kameka MS-46 microanalyzer. The Dmu values were determined as a function of the Nb concentration, and the activation energies for mutual diffusion were calculated.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 10

Equations are derived for the mass spectrum of baryons and mesons within the framework of nonlinear quark theory on the basis of the relativistic, SU(3)-invariant equations derived previously for these particles. The equations derived are the same as those found by the ordinary (purely group) approach in nonrelativistic SU(6)-invariant theory.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 15

Thermal fluctuations in the amplitude of surface-charged waves are analyzed for a partially filled plasma waveguide of circular cross sections. A dispersion equation is found for the surface-charged waves.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 17

A method involving variation of arbitrary constants is used to solve the differetial equations for intermediate non-Kepler motion. A new system of canonical variables is introduced which is convenient for studying perturbations of this motion.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 22

The choice of temporal and spatial metrics for the reference frame in the three-dimensional chronometrically invariant two-metric formalism is discussed in connection with various approaches for describing gravitation.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 24

Variables are separated in the Dirac equation for an electron moving in a uniform magnetic field and in a parallel, time-dependent electric field. Explicit solutions are fo\Dld for certain particular fields.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 29

Equations are derived for the total power and the polarization of the radiation emitted by an electron or by a scalar particle in the second excited state and moving in a superstrong magnetic field.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 32

In an attempt to determine the nature of the oscillations which arise in a Penning discharge, a study has been made of the role played by perturbations caused in the electric field near the anode by longitudinal apertures in the cylindrical anode. The radial potential drop was measured by the "ion-kinetics" method. A study was also made of the sensitivity of the discharge oscillations to the potential on probes placed in the anode apertures.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 38

The angular and energetic distributions are calculated for the bremsstrahlung emitted during the scattering of a neutrino by an electron. The radiation corrections of order α to the effective total cross section for these scattering is calculated; the expression for this correction also takes into account the emission of a hard photon.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 43

The frequency correlations are calculated for the amplitude and phase fluctuations of two spherical waves of different frequencies propagating in an isotropic turbulent medium. The structure function of the refractive index of such a medium obeys a Kolmogorov-Obukhov two-thirds law. The analysis is carried out from the wave point of view in the first approximation of the smooth-perturbation method.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 51

The basic properties of the root trajectories, which can be used for qualitative and quantitative of the dynamics of identical two-dimensional systems, are studied for characteristic equations of the form N(p) + jaM(p)= 0 with complex coefficients. Geometric and analytic methods for constructing these root trajectories are described. The degree of the trajectory equation in ω^2 is much lower than that of the characteristic equation, so it becomes easier to analyze two-channel systems described by high-order differential equations. Illustrative constructions of root trajectories are described.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 57

Equations are derived for the second-order secular perturbations in the orbital elements for remote earth satellites under the condition that the perturbing function contains terms of third degree in the Lagrange variables.

Show AbstractMoscow University Physics Bulletin 1970. **25**. N 3. P. 63

In an analysis of the effect of external electromagnetic radiation on the spin state of slightly relativistic electrons in a uniform magnetic field, it is shown that an electron beam can become highly polarized under certain conditions. An expression is found for the probability for radiative transitions involving spin flipping which holds for all particle energies.

Show AbstractB r i e f r e p o r t s

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