On Behavior of Quantum Particles in an Electric Field in Spaces of Constant Curvature, Hyperbolic and Spherical Models

  • E. M. Ovsiyuk I.P. Shamyakin Mozyr State Pedagogical University
  • O. V. Veko I.P. Shamyakin Mozyr State Pedagogical University
Keywords: Electric field, spaces of constant curvature, Schr¨odinger equation, Dirac equation, exact solutions

Abstract

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.

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Published
2018-10-11
How to Cite
Ovsiyuk, E., & Veko, O. (2018). On Behavior of Quantum Particles in an Electric Field in Spaces of Constant Curvature, Hyperbolic and Spherical Models. Ukrainian Journal of Physics, 58(11), 1065. https://doi.org/10.15407/ujpe58.11.1065
Section
Archive