https://elib.bsu.by:443/handle/123456789/130955 NPCS Vol.17, no.4, pp. 340-470 (2014) Mon, 20 Apr 2026 07:00:45 GMT 2026-04-20T07:00:45Z https://elib.bsu.by:443/handle/123456789/133727 Заглавие документа: Few Memories of Yakov Zeldovich Авторы: Kopyt, Nikolai Kh.; Cadeˇz, Andrej; L´evai, P´eter Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/133727 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/133725 Заглавие документа: Quantum Mechanical Scalar Particle with Intrinsic Structure in External Magnetic and Electric Fields: Influence of Geometrical Background Авторы: Kazmerchuk, K. V.; Ovsiyuk, E. M.; Kisel, V. V.; Red’kov, V. M. Аннотация: Relativistic theory of the Cox’s scalar not point-like particle is developed in the presence of electromagnetic and gravitational fields. This theory is specified in simple geometrical backgrounds: Euclid’s, Lobachevsky’s, and Riemann’s. Wave equations for the Cox’s particle, relativistic and non-relativistic, are solved exactly in the presence of external uniform magnetic and electric fields in the case of Minkowski space. Non-trivial additional structure of the particle modifies the frequency of a quantum oscillator arising e˙ectively in the presence of an external magnetic field. Extension of these problems to the case of hyperbolic Lobachevsky space is examined. In the presence of a magnetic field, the quantum problem in radial variable has been solved exactly; quantum motion in z-direction is described by 1-dimensional Schr¨odinger-like equation in an e˙ective potential which turns out to be too di˚cult for analytical treatment. In the presence of an electric field, the situation is similar. The same analysis has been performed for spherical Riemann space model. General conclusion can be done: the role of large scale structure of the Universe depends greatly on the form of basic equations for a particle, any modification of them lead to new physical phenomena due to non-Euclidean geometry background. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/133725 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/133723 Заглавие документа: Dirac Particle in the Presence of a Magnetic Charge in De Sitter Universe: Exact Solutions and Transparency of the Cosmological Horizon Авторы: Veko, O. V.; Ovsiyuk, E. M.; Red’kov, V. M. Аннотация: It has been shown that the monopole background does not a˙ect the transparency properties of the de Sitter cosmological horizon for quantum particles with spin 1/2. One can expect that this conclusion is due only to the geometry of the de Sitter space-time, and it does not depend on spin of the particles. PACS numbers: 02.30.Gp, 02.40.Ky, 03.65Ge, 04.62.+v Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/133723 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/133721 Заглавие документа: Astrophysical Constraints on Multidimensional Primordial Black Holes based on Neutron Stars Absorption Авторы: Tsalkou, Ya. A.; Tikhomirov, V. V. Аннотация: A possibility of Multidimensional Primordial Black Hole (PBH) detection connected with neutron stars absorption is considered and respective constraints on the PBH mass fraction in the six-dimensional Arkani–Hamed–Dimopoulos–Dvali braneworld are obtained. It is shown that the absorption of a neutron star by an extra dimensional PBH imposes an upper limit of the six-dimensional Planck mass. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/133721 2014-01-01T00:00:00Z