https://elib.bsu.by:443/handle/123456789/219694 NPCS Vol.20, no.4 (2017), pp. 319-423 2026-04-21T09:09:15Z https://elib.bsu.by:443/handle/123456789/220294 Заглавие документа: Spin 1/2 Particle with two Mass States: Interaction with External Fields Авторы: Kisel, V. V.; Pletyukhov, V. A.; Gilewsky, V. V.; Ovsiyuk, E. M.; Veko, O. V.; Red’kov, V. M. Аннотация: In the paper, a model for spin 1/2 particle with two mass states is developed on the base of the Gel’fand–Yaglom approach in the theory of relativistic wave equations with extended sets of irreducible representations of the Lorentz group. The main generalized equation is presented in spin-tensor form, and with the use of the Dirac matrices. We introduce two auxiliary bispinors, they determine initial 16-component wave function, and in the absence of an external field for these bispinors we derive two separate Dirac-like equations with different masses M1 and M2. It is shown that in the presence of external fields, electromagnetic field and gravitational non-Euclidean background with non-vanishing Ricci scalar curvature, the master wave equation is not split into separated equations, instead a quite definite mixing of two Dirac-like equations arises. This mixing also remains in the presence of only an electromagnetic field, as well it remains in the presence of only a gravitational field. It is shown that a generalized equation for Majorana particle with two mass parameters exists as well, such a generalized Majorana equation is not split into two separated equations if the Ricci scalar does not vanish. 2017-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/220293 Заглавие документа: On Form Factor of the Relativistic Two-Particle System in the Relativistic Quasipotential Approach Авторы: Chernichenko, Yu. D. Аннотация: For the cases of scalar and vector currents, new covariant expressions have been found for the components of the elastic form factor for a bound system of two relativistic spinless particles of arbitrary masses as functions of the invariant variable ∆2 P,Q, which is the square of the momentum-transfer vector in the Lobachevsky space. The present consideration has been performed within the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory by going over to the three dimensional relativistic configuration representation. 2017-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/220292 Заглавие документа: Rotation Number Additive Theory for Birkhoff Curves Авторы: Osipov, A. V.; Serow, D. W. Аннотация: Rotation number elementary theory for Birkhoff curves has been constructed. Geometrical (dynamical) and numerical properties for Birkhoff curves being more than two regions common boundary has been studied. Topological number invariants with respect to a dissipative dynamic system on the plane possessing the Birkhoff curve property have been discussed. Simple allocation algorithm of natural numbers has been applied, so that its Schnirelmann density is equal to the rotation number for a region. If the region boundary is a Birkhoff curve then the sequence contains an additive basis zero Schnirelmann density. The basis contains an arbitrary long arithmetic progression. Rotation numbers for regions are defined to be different additive bases zero Schnirelmann density. 2017-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/220283 Заглавие документа: Neural Network Method in the Problem of Defining Steady State Creep in Rotating Solid Disks Авторы: Kuznetsov, E. B.; Leonov, S. S.; Vasilyev, A. N. Аннотация: This paper deals with a problem of defining steady state stress in rotating solid titan alloy aviation disks at constant temperature. The problem is described by a system of ordinary differential equations with boundary conditions. The energy variant of the creep theory is used. Technique of neural network modeling is applied to the solution of this problem. The neural network approximation computed for the solution agrees well with the results of other authors. 2017-01-01T00:00:00Z