TY - JOUR AU - Ovsiyuk, E. M. AU - Veko, O. V. PY - 2018/10/11 Y2 - 2024/03/28 TI - On Behavior of Quantum Particles in an Electric Field in Spaces of Constant Curvature, Hyperbolic and Spherical Models JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 58 IS - 11 SE - DO - 10.15407/ujpe58.11.1065 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018386 SP - 1065 AB - <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> ER -