Ovsiyuk, E. M.; Krylova, N. G.; Balan, V.; Red’kov, V. M. The doublet of Dirac particles in a non-abelian monopole field: Pauli approximation. (English) Zbl 07749761 Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 136-158 (2022). MSC: 81R25 81S05 81V60 70M20 33C05 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 136--158 (2022; Zbl 07749761) Full Text: DOI
Krylova, Nina; Ovsiyuk, Elena; Balan, Vladimir; Red’kov, Viktor Non-abelian monopole problem, the method of geometrical \(KCC\)-invariants. (English) Zbl 1509.53021 Balan, Vladimir (ed.), Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2021), Bucharest, Romania, August 26–29, 2021. Bucharest: Geometry Balkan Press. BSG Proc. 29, 48-67 (2022). MSC: 53B20 53Z05 81V99 PDFBibTeX XMLCite \textit{N. Krylova} et al., BSG Proc. 29, 48--67 (2022; Zbl 1509.53021) Full Text: Link
Ovsiyuk, E. M.; Koral’kov, A. D.; Chichurin, A. V.; Red’kov, V. M. Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky model. (English) Zbl 07728703 Nonlinear Phenom. Complex Syst., Minsk 24, No. 3, 260-271 (2021). MSC: 81R25 78A30 32Q45 37C30 28A20 11J81 37K10 81V45 81Q20 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 24, No. 3, 260--271 (2021; Zbl 07728703) Full Text: DOI
Koral’kov, D.; Ovsiyuk, E. M.; Kisel, V. V.; Chichurin, A. V.; Voynova, Ya. A.; Red’kov, V. M. Spinless particle with Darwin-Cox structure in an external Coulomb field. (English) Zbl 1459.81040 Nonlinear Phenom. Complex Syst., Minsk 23, No. 4, 357-373 (2020). MSC: 81Q05 81V10 81R20 PDFBibTeX XMLCite \textit{D. Koral'kov} et al., Nonlinear Phenom. Complex Syst., Minsk 23, No. 4, 357--373 (2020; Zbl 1459.81040) Full Text: DOI
Ovsiyuk, E. V.; Chichurin, A. V.; Voynova, Ya. A.; Red’kov, V. M. Spin 1 particle with polarizability in the external Coulomb field, nonrelativistic description. (English) Zbl 1427.81034 Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2018), Mangalia, Romania, August 30 – September 2, 2018. Bucharest: Geometry Balkan Press. BSG Proc. 26, 79-101 (2019). MSC: 81Q05 33E30 34B30 81R25 81V10 78A35 47A10 PDFBibTeX XMLCite \textit{E. V. Ovsiyuk} et al., BSG Proc. 26, 79--101 (2019; Zbl 1427.81034) Full Text: Link
Kisel, V. V.; Pletyukhov, V. A.; Ovsiyuk, E. M.; Red’kov, V. M. On P-noninvariant wave equation for a spin 1/2 particle with anomalous magnetic moment. (English) Zbl 1414.81263 Nonlinear Phenom. Complex Syst., Minsk 22, No. 1, 18-40 (2019). MSC: 81V10 81R25 81Q05 81Q35 PDFBibTeX XMLCite \textit{V. V. Kisel} et al., Nonlinear Phenom. Complex Syst., Minsk 22, No. 1, 18--40 (2019; Zbl 1414.81263) Full Text: Link
Kisel’, V. V.; Pletyukhov, V. A.; Ovsiyuk, E. M.; Voĭnova, Ya. A.; Veko, O. V.; Red’kov, V. M. Fermion with three mass parameters: interaction with external fields. (Russian. English summary) Zbl 1524.81044 Dokl. Nats. Akad. Nauk Belarusi 62, No. 6, 661-667 (2018). MSC: 81Q05 PDFBibTeX XMLCite \textit{V. V. Kisel'} et al., Dokl. Nats. Akad. Nauk Belarusi 62, No. 6, 661--667 (2018; Zbl 1524.81044) Full Text: Link
Krylova, N. G.; Ovsiyuk, E. M.; Balan, V.; Red’kov, V. M. Geometrization for a quantum-mechanical problem of a vector particle in an external Coulomb field. (English) Zbl 1407.81094 Nonlinear Phenom. Complex Syst., Minsk 21, No. 4, 309-325 (2018). MSC: 81Q05 81Q70 81R15 PDFBibTeX XMLCite \textit{N. G. Krylova} et al., Nonlinear Phenom. Complex Syst., Minsk 21, No. 4, 309--325 (2018; Zbl 1407.81094)
Ovsiyuk, E. M.; Veko, O. V.; Voĭnova, Ya. A.; Koral’kov, A. D.; Kisel’, V. V.; Red’kov, V. M. On describing bound states for a spin 1 particle in the external Coulomb field. (Russian. English summary) Zbl 1398.81088 Probl. Fiz. Mat. Tekh. 2018, No. 2(35), 21-33 (2018). MSC: 81Q05 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Probl. Fiz. Mat. Tekh. 2018, No. 2(35), 21--33 (2018; Zbl 1398.81088) Full Text: MNR
Ovsiyuk, E. M.; Voynova, Ya. A.; Kisel, V. V.; Balan, V.; Red’kov, V. M. Spin 1 particle with anomalous magnetic moment in an external uniform electric field. (English) Zbl 1396.81085 Nonlinear Phenom. Complex Syst., Minsk 21, No. 1, 1-20 (2018). MSC: 81Q05 81R25 81U15 78A35 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 21, No. 1, 1--20 (2018; Zbl 1396.81085) Full Text: Link
Veko, O.; Ovsiyuk, E.; Balan, V.; Red’kov, V. Bolyai-Lobachevsky geometrical simulation of a media acting as an ideal mirror on the particles. (English) Zbl 1382.35246 Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2016), Mangalia, Romania, August 28 – September 3, 2016. In memoriam of Adrian Constantinescu. Bucharest: Geometry Balkan Press. BSG Proceedings 24, 74-90 (2017). MSC: 35Q41 81Q05 15A66 35Q60 22E43 PDFBibTeX XMLCite \textit{O. Veko} et al., BSG Proc. 24, 74--90 (2017; Zbl 1382.35246)
Kisel, V. V.; Ovsiyuk, E. M.; Voynova, Y. A.; Red’kov, V. M. Quantum mechanics for a vector particle with quadrupole moment in the external uniform magnetic field. (Russian. English summary) Zbl 1375.81085 Probl. Fiz. Mat. Tekh. 2017, No. 3(32), 18-27 (2017). MSC: 81Q05 81V10 PDFBibTeX XMLCite \textit{V. V. Kisel} et al., Probl. Fiz. Mat. Tekh. 2017, No. 3(32), 18--27 (2017; Zbl 1375.81085) Full Text: MNR
Ovsiyuk, E. M.; Veko, O. V.; Rusak, Yu. A.; Chichurin, A. V.; Red’kov, V. M. To analysis of the Dirac and Majorana particle solutions in Schwarzschild field. (English) Zbl 1372.81071 Nonlinear Phenom. Complex Syst., Minsk 20, No. 1, 56-72 (2017). MSC: 81Q35 81Q05 83C57 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 20, No. 1, 56--72 (2017; Zbl 1372.81071) Full Text: Link
Kisel, V.; Voynova, Ya.; Ovsiyuk, E.; Balan, V.; Red’kov, V. Spin 1 particle with anomalous magnetic moment in an external uniform magnetic field. (English) Zbl 1375.81084 Nonlinear Phenom. Complex Syst., Minsk 20, No. 1, 21-39 (2017). MSC: 81Q05 81R25 20C25 35L51 35A01 33C15 PDFBibTeX XMLCite \textit{V. Kisel} et al., Nonlinear Phenom. Complex Syst., Minsk 20, No. 1, 21--39 (2017; Zbl 1375.81084) Full Text: Link
Kisel, V. V.; Ovsiyuk, E. M.; Veko, O. V.; Voynova, Y. A.; Red’kov, V. M. Quantum mechanics of a spin 1 particle with the anomalous magnetic moment in the magnetic field. (Russian. English summary) Zbl 1372.81044 Dokl. Nats. Akad. Nauk Belarusi 60, No. 5, 83-90 (2016). MSC: 81Q05 PDFBibTeX XMLCite \textit{V. V. Kisel} et al., Dokl. Nats. Akad. Nauk Belarusi 60, No. 5, 83--90 (2016; Zbl 1372.81044) Full Text: Link
Ovsiyuk, E. M.; Veko, O. V.; Voynova, Y. A.; Kisel, V. V.; Red’kov, V. M. Quantum mechanics of the electron in the magnetic field, taking into account of the anomalous magnetic moment. (Russian. English summary) Zbl 1372.81050 Dokl. Nats. Akad. Nauk Belarusi 60, No. 4, 67-72 (2016). MSC: 81Q05 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Dokl. Nats. Akad. Nauk Belarusi 60, No. 4, 67--72 (2016; Zbl 1372.81050) Full Text: Link
Ovsiyuk, E. M.; Kisel, V. V.; Voynova, Ya. A.; Veko, O. V.; Red’kov, V. M. Spin 1/2 particle with anomalous magnetic moment in a uniform magnetic field. (English) Zbl 1353.81045 Nonlinear Phenom. Complex Syst., Minsk 19, No. 2, 153-165 (2016). MSC: 81Q05 35Q41 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 19, No. 2, 153--165 (2016; Zbl 1353.81045) Full Text: Link
Veko, O. V.; Kazmerchuk, K. V.; Ovsiyuk, E. M.; Kisel, V. V.; Ishkhanyan, A. M.; Red’kov, V. M. Spin 1 particle in the magnetic monopole potential for Minkowski and Lobachevsky spaces: nonrelativistic approximation. (English) Zbl 1337.81058 Nonlinear Phenom. Complex Syst., Minsk 18, No. 2, 243-258 (2015). MSC: 81Q05 81Q10 81R20 81U15 81Q35 PDFBibTeX XMLCite \textit{O. V. Veko} et al., Nonlinear Phenom. Complex Syst., Minsk 18, No. 2, 243--258 (2015; Zbl 1337.81058) Full Text: Link
Veko, O. V.; Red’kov, V. M.; Shelest, A. I.; Yushchenko, S. A.; Ishkhanyan, A. M. General conditions of vanishing current \(J^z\) for a Dirac field on boundaries of a domain between two planes. (English) Zbl 1339.81090 Nonlinear Phenom. Complex Syst., Minsk 17, No. 2, 147-168 (2014). MSC: 81T55 81Q05 35Q41 81T70 PDFBibTeX XMLCite \textit{O. V. Veko} et al., Nonlinear Phenom. Complex Syst., Minsk 17, No. 2, 147--168 (2014; Zbl 1339.81090) Full Text: arXiv Link
Veko, O. V.; Kazmerchuk, K. V.; Ovsiyuk, E. M.; Kisel, V. V.; Red’kov, V. M. Quantum mechanical scalar particle with intrinsic structure in external magnetic and electric fields: influence of geometrical background. (English) Zbl 1311.81131 Nonlinear Phenom. Complex Syst., Minsk 17, No. 4, 464-466 (2014). MSC: 81Q35 35Q41 PDFBibTeX XMLCite \textit{O. V. Veko} et al., Nonlinear Phenom. Complex Syst., Minsk 17, No. 4, 464--466 (2014; Zbl 1311.81131) Full Text: Link
Ovsiyuk, E. M.; Kisel, V. V.; Red’kov, V. M. On a Dirac particle in a uniform magnetic field in 3-dimensional space of constant negative curvature. (English) Zbl 1300.35119 Nonlinear Phenom. Complex Syst., Minsk 15, No. 1, 43-57 (2012). MSC: 35Q41 81Q05 81T20 PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Nonlinear Phenom. Complex Syst., Minsk 15, No. 1, 43--57 (2012; Zbl 1300.35119) Full Text: arXiv Link
Red’kov, V.; Ovsiyuk, E.; Kisel, V. V. Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of variables, and exact solutions. (English) Zbl 1295.81062 Nonlinear Phenom. Complex Syst., Minsk 15, No. 3, 241-252 (2012). MSC: 81Q05 81T20 81V10 33C90 PDFBibTeX XMLCite \textit{V. Red'kov} et al., Nonlinear Phenom. Complex Syst., Minsk 15, No. 3, 241--252 (2012; Zbl 1295.81062) Full Text: arXiv Link
Red’kov, V. M.; Ovsiyuk, E. M. Parabolic coordinates and the hydrogen atom in spaces \(H_3\) and \(S_3\). (English) Zbl 1268.81067 Nonlinear Phenom. Complex Syst., Minsk 14, No. 2, 106-125 (2011). MSC: 81Q05 81Q35 81Q10 81V45 PDFBibTeX XMLCite \textit{V. M. Red'kov} and \textit{E. M. Ovsiyuk}, Nonlinear Phenom. Complex Syst., Minsk 14, No. 2, 106--125 (2011; Zbl 1268.81067) Full Text: arXiv Link
Kisel, V. V.; Ovsiyuk, E. M.; Red’kov, V. M. On the wave functions and energy spectrum for a spin 1 particle in an external Coulomb field. (English) Zbl 1211.81055 Nonlinear Phenom. Complex Syst., Minsk 13, No. 4, 352-367 (2010). MSC: 81Q05 81R25 81V45 PDFBibTeX XMLCite \textit{V. V. Kisel} et al., Nonlinear Phenom. Complex Syst., Minsk 13, No. 4, 352--367 (2010; Zbl 1211.81055) Full Text: arXiv Link