ЭБ Коллекция: NPCS Vol.16, no.4, pp. 314-417 (2013)NPCS Vol.16, no.4, pp. 314-417 (2013)https://elib.bsu.by:443/handle/123456789/1734452024-03-28T14:48:20Z2024-03-28T14:48:20ZOn Quantum Wave Package Propagation through Potential BarriersBelov, MaximKrylov, Georgehttps://elib.bsu.by:443/handle/123456789/1741372021-11-12T10:59:38Z2013-01-01T00:00:00ZЗаглавие документа: On Quantum Wave Package Propagation through Potential Barriers
Авторы: Belov, Maxim; Krylov, George
Аннотация: We consider one-dimensional wave package propagation through potential barriers. We test several approaches to obtain wave package transmission coefficients - by direct numeric solution of the time-dependent Schrӧdinger equation with step and rectangular barrier potentials, usage of the spectral decomposition of the propagator. We also rigorously derive earlier propose an asymptotic formula, that can be used for calculation of the transmission coefficient. The formula produces accurate results and is much easier applicable then other considered approaches.2013-01-01T00:00:00ZComplex Masses of Resonances and the Cornell PotentialSergeenko, M. N.https://elib.bsu.by:443/handle/123456789/1741352021-11-12T10:59:32Z2013-01-01T00:00:00ZЗаглавие документа: Complex Masses of Resonances and the Cornell Potential
Авторы: Sergeenko, M. N.
Аннотация: Physical properties of the Cornell potential in the complex-mass scheme are investigated. Two exact asymptotic solutions of relativistic wave equation for the coulombic and linear components of the potential are used to derive the resonance complex-mass formula. The centered masses and total widths of the leading ρ-family resonances are calculated.2013-01-01T00:00:00ZThe QCD Analysis of xF3 Structure Function Based on the Analytic ApproachSidorov, A. V.Solovtsova, O. P.https://elib.bsu.by:443/handle/123456789/1741342021-11-12T10:59:43Z2013-01-01T00:00:00ZЗаглавие документа: The QCD Analysis of xF3 Structure Function Based on the Analytic Approach
Авторы: Sidorov, A. V.; Solovtsova, O. P.
Аннотация: We apply analytic perturbation theory to the QCD analysis of the xF3 structure function data of the CCFR collaboration. We use a different approaches for the leading order Q2 evolution of xF3 structure function and compare the extracted values of parameter Ʌ and the shape of the higher twist contribution. Our consideration is based on the Jacobi polynomials expansion method of the unpolarized structure function. The analysis shows that the analytic approach provides a reasonable results in the leading order QCD analysis.2013-01-01T00:00:00ZControllability and Number-Theoretic Properties of Dynamical PolysystemsKhryashchev, Sergey M.https://elib.bsu.by:443/handle/123456789/1741332021-11-12T10:59:32Z2013-01-01T00:00:00ZЗаглавие документа: Controllability and Number-Theoretic Properties of Dynamical Polysystems
Авторы: Khryashchev, Sergey M.
Аннотация: Control systems with a finite number of control parameters, i.e. dynamical polysystems, are considered. It is assumed that the control switchings occur at some discrete times. Controllability of these systems are studied. Methods of number theory are used. Existence of control switching times is established by analysis of Diophantine equations. The values of control switching times can be found by some numerical methods. The statements on controllability are proved. Some examples are considered.2013-01-01T00:00:00Z