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math-ph2014
Hydrogen atom in de Sitter spaces
O. V. Veko, K. V. Kazmerchuk, E. M. Ovsiyuk +2
The hydrogen atom theory is developed for the de Sitter and anti de Sitter spaces on the basis of the Klein-Gordon-Fock wave equation in static coordinates. In both models, after s…
math-ph2012★ 2 cited
Nonrelativistic approximation for quasi-planes waves of a spin 1 particle in Lobachevsky space
E. M. Ovsiyuk, K. V. Kazmerchuk
Spin 1 particle in Pauli approximation is investigated on the background of the curved space of constant negative curvature, Lobachevsky space. Nonrelativistic approximation is per…
math-ph2012★ 1 cited
Quasi-plane waves for spin 1 field in Lobachevsky space and a generalized helicity operator
E. M. Ovsiyuk, K. V. Kazmerchuk
Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-b…