Invariant Sets of Systems of Stochastic Differential Equations with Jumps

We introduce the notion of invariant surfaces for inhomogeneous stochastic differential equations with jumps. The results obtained enable one to determine invariant surfaces for stochastic differential equations of the type indicated. __________ Translated from Neliniini Kolyvannya, Vol. 8, No. 2, pp. 234–240, April–June, 2005.     

Approximate diagonalization of the energy operator of a system of interacting particles

The present work considers a method of diagonalization of the energy operator of a system of valence electrons in a simple model of a semiconductor, and in a simple model of a metal. The results obtained are used in the theory of superconductivity and in the theory of superfluidity.Translated from Izvestiya VUZ. Fizika, No. 12, pp. 43–47, December, 1971.     

Masses of nucleons of different generations in gauge-field theory

In the present work, within the framework of gauge-field theory, a model is constructed implying the existence of several generations of nucleons. The masses of nucleons of higher generations are calculated; according to the hadron model previously proposed, these nucleons are responsible for the formation of hadrons with charm and beauty.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 62–67, December, 1986.     

Investigation of the emission of photons induced in the volume reflection of 10-GeV positrons in a bent silicon single crystal

The emission of photons in the motion of a 10-GeV positron beam in bent silicon crystals has been experimentally investigated. The experimental data are compared with the theoretical calculations.     

Statistical physics as an approximate method in quantum mechanics of many particle systems in the occupation number representation

In this paper an attempt is made to build a foundation for statistical physics from the position of quantum mechanics of many particles in the occupation number representation. This approach allowed us to develop a variational method for solving stationary and non-stationary problems.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 111–116, October, 1989.