TY - JOUR
AU - Ovsiyuk, E. M.
AU - Veko, O. V.
PY - 2018/10/11
Y2 - 2020/10/27
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 -