ЭБ Коллекция: NPCS Vol.24, no.2 (2021), pp. 104-206

Exact Solution of the Schr¨odinger Equation for Composition of Coulomb and Oscillator Potentials

Fri, 01 Jan 2021 00:00:00 GMT

Заглавие документа: Exact Solution of the Schr¨odinger Equation for Composition of Coulomb and Oscillator Potentials Авторы: Kudryashov, V. V.; Baran, A. V. Аннотация: The spherically symmetric potential is considered whose dependence on the distance r is described by the smooth composition of Coulomb at r < r0 and oscillator at r > r0 potentials. The boundary distance r0 is determined by the parameters of these potentials. The exact continuous solution of the radial Schr¨odinger equation is expressed in terms of the conﬂuent hypergeometric functions. The discrete energy levels are obtained. The graphic illustrations for the energy spectrum and the radial wave functions are presented.

Non-Symmetrical W-potential in Nonlinear Biophysics of Microtubules

Fri, 01 Jan 2021 00:00:00 GMT

Заглавие документа: Non-Symmetrical W-potential in Nonlinear Biophysics of Microtubules Авторы: Zdravkovi´c, S.; Sivˇcevi´c, V. Аннотация: In this work, we study nonlinear dynamics of microtubules. An important interaction among constitutive particles is modeled using W-potential. We compare a symmetric potential with two kinds of non-symmetric ones. An advantage of the latter ones is demonstrated.

Illusiveness of the Problem of Time

Fri, 01 Jan 2021 00:00:00 GMT

Заглавие документа: Illusiveness of the Problem of Time Авторы: Cherkas, S. L.; Kalashnikov, V. L. Аннотация: The essay is devoted to the problem of time in the context of quantum cosmology, which acquires a philosophical level to date. At an example of the minisuperspace model, we show that this problem is illusive because it does not prevent calculating the mean values of the operators over the quantum state of the universe. Contrariwise, the diﬀerent approaches to the description of these time-dependent mean values give similar results.

Modern Technique for Real Photon Radiative Correction Calculations

Fri, 01 Jan 2021 00:00:00 GMT

Заглавие документа: Modern Technique for Real Photon Radiative Correction Calculations Авторы: Shershan, I. A.; Shishkina, T. V. Аннотация: The problem of the bremsstrahlung contribution calculation as a part of the radiative corrections in the case of single gauge boson production was discussed. It was shown that the hard photon bremsstrahlung contribution can be divided into the ﬁnite and divergent terms. The exact calculation of soft photon bremsstrahlung and infrared part of hard photon bremsstrahlung was presented in frame of the dimensional regularization scheme. Numerical analysis of radiative corrections to the cross sections of single gauge boson production was performed.