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Nonrelativistic approximation for quasi-planes waves of a spin 1 particle in Lobachevsky space
Spin 1 particle in Pauli approximation is investigated on the background of the curved space of constant negative curvature, Lobachevsky space. Nonrelativistic approximation is performed in theExpand
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Wave functions of a particle with polarizability in the Coulomb potential
Quantum mechanical scalar particle with polarizability is considered in the presence of the Coulomb field. Separation of variables is performed with the use of Wigner D-functions, the radial systemExpand
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Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory
Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations,Expand
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Coulomb problem for a Dirac particle in flat Minkowski space and the Heun functions, extension to curved models
It is shown that there exist several ways to treat the quantum-mechanical Coulomb problem for a Dirac particle in flat Minkowski space with the help of the Heun differential equation, Fuchs'sExpand
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Spin 1/2 particle in the field of the Dirac string on the background of de Sitter space–time
У космологічній моделі де Сіттера визначено потенціал діраківського монополя. Досліджено рівняння Дірака в присутності цього поля в статичних координатах простору де Сіттера. Замість спінорнихExpand
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On simulating a medium with special reflecting properties by Lobachevsky geometry (One exactly solvable electromagnetic problem)
Lobachewsky geometry simulates a medium with special constitutive relations. The situation is specified in quasi-cartesian coordinates (x,y,z). Exact solutions of the Maxwell equations in complexExpand
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On the wave functions and energy spectrum for a spin 1 particle in external Coulomb field
Quantum-mechanical system -- spin 1 particle in external Coulomb field is studied on the base of the matrix Duffin-Kemmer-Petiau formalism with the use of the tetrad technique. Separation of theExpand
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Maxwell equations in complex form of Majorana–Oppenheimer, solutions with cylindric symmetry in Riemann S3 and Lobachevsky H3 spaces
Complex formalism of Riemann–Silberstein–Majorana–Oppenheimer in Maxwell electrodynamics is extended to the case of arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe ofExpand
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Maxwell equations in complex form, squaring procedure and separating the variables
The Riemann–Silberstein–Majorana–Oppenheimer complex approach to the Maxwell electrodynamics is investigated within the matrix formalism. Within the squaring procedure we construct four types ofExpand
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