Perturbation theory and an indefinite metric
Perturbation theory and an indefinite metric
A.I. Naumov
The present paper is a natural continuation of [1, 2]. It shows that perturbation theory can be used in a Heisenberg version of the unified nonlinear theory of elementary particles. Though perturbation theory can be used, propagators which include the contributions of dipole phantom states must be employed as the convolutions. The theory then becomes renormalizable (even finite), while the vacuum spiral degeneracy is automatically removable. We use this method to evaluate the mass of the fundamental fermion (nucleon), for which a well-defined finite value, dependent on the form of the nonlinear Lagrangian, is obtained.
Show AbstractModel of a fixed source and multiple processes
Model of a fixed source and multiple processes
V.B. Gostev
The problem of the interaction between fixed quantum fermions and bosons is considered, and its solution is used to describe the multiple creation of bosons.
Show AbstractA method of observing temperature stratification in the sea
A method of observing temperature stratification in the sea
A.G. Voskanyan, A.A. Pivovarov, and G.G. Khundzhua
A description is given of an electronic system and method of continuously recording the temperature to an accuracy of 0.05°С and the pressure to 1% in the surface layer of the sea to a depth of 250 m. The method of operating the equipment under sea conditions is described. Examples are given of records of the temperature distribution with depth, as well as certain results obtained from vertical sounding during a twenty-four hour period on the Black Sea.
Show AbstractElectron waves in a resonator with a transverse sinusoidal electric field
Electron waves in a resonator with a transverse sinusoidal electric field
V.G. Isanin and A.S. Roshal
The synchronous and cyclotron waves of an electron beam in a resonator with a transverse field, which varies sinusoidally along the direction of propagation, are studied. The existence of increasing solutions is demonstrated. The frequency characteristics of the beam interaction in the resonator are given.
Show AbstractStudy of a third-order nonlinear system with delay by the root locus method
Study of a third-order nonlinear system with delay by the root locus method
F.B. Konev and Yu.I. Kuznetsov
It was proposed that use of the root locus method together with the principle of harmonic balance be applied to the study of a third-order nonlinear system with delay. The conditions under which the proposed method can be used are explained.
Show AbstractThe optical absorption coefficient due to free charge carriers
The optical absorption coefficient due to free charge carriers
I.Z. Kostadinov and Ya.G. Proikova
Expressions are obtained for the light absorption coefficient, taking attenuation into account. Scattering by impurities and by optical phonons is examined. The results are given graphically. The part played by the different scattering mechanisms is discussed.
Show AbstractComparison of the quadrature and series solutions of the problem of two fixed centers
Comparison of the quadrature and series solutions of the problem of two fixed centers
R.K. Choudhri
Solutions of the problem of two fixed centers, obtained by means of power series and in quadratures in the plane case, are compared.
Show AbstractInvestigation of exchange interactions in aluminum lithium ferrites
Investigation of exchange interactions in aluminum lithium ferrites
A.N. Goryaga and N.V. Volkova
The temperature dependence and the curie points of compounds of aluminum lithium ferrite possessing a spinel structure have been measured. Using the method of Rado and Folen [l] the molecular field coefficients α, β and n are determined for four compositions. It was established that with the introduction of Al^{3+} into the lithium ferrite the BB interaction becomes stronger than the AA interaction. From the data concerning the coefficients it is concluded that in ferrites possessing temperature compensation of the magnetic moments of the sublattices [curve of 𝜎s(T)of type N), the exchange interaction within each sublattice plays a significant role.
Show AbstractAn experimental method of investigating the velocity distribution of bottom currents
An experimental method of investigating the velocity distribution of bottom currents
Yu.G. Pyrkin, A.A. Pivovarov, and G.G. Khundzhua
A description is given of a bottom gradient device which is an automatic system for simultaneously recording the modulus of speed at five levels from the bottom as well as the direction of the bottom currents.
Show AbstractStudy of waves in crystals under conditions approaching those of crystallization using the vlasov equation
Study of waves in crystals under conditions approaching those of crystallization using the vlasov equation
V.A. Golovko
The distribution of standing waves in an unbounded one-dimensional crystal is considered in a linear approximation on the basis of Vlasov's equation. Particular attention is paid to a crystal existing under conditions approaching those of crystallization. A method is developed for the step-by-step determination of the distribution function. A relationship is derived between the frequency of the wave and the wave vector, and the particular case of Bragg reflection is considered.
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