@article{Ovsiyuk_Veko_2018, title={On Behavior of Quantum Particles in an Electric Field in Spaces of Constant Curvature, Hyperbolic and Spherical Models}, volume={58}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018386}, DOI={10.15407/ujpe58.11.1065}, abstractNote={<p>In the Lobachevsky hyperbolic and Riemann spherical spaces, generalized potentials describing a uniform electric field are introduced as solutions of the covariant Maxwell equations. Exact solutions of the Schr¨odinger equation in the presence of the electric field are constructed in both models. The similarity of the energy spectra of the particle against the background of a spherical space with the electric field and in the Coulomb field is noted.</p>}, number={11}, journal={Ukrainian Journal of Physics}, author={Ovsiyuk, E. M. and Veko, O. V.}, year={2018}, month={Oct.}, pages={1065} }