Schr\"{o}dinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces
@article{Bogush2010SchrodingerPI,
title={Schr\"\{o\}dinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces},
author={A. Bogush and V. Red'kov and G. Krylov},
journal={arXiv: High Energy Physics - Theory},
year={2010}
}Schr\"{o}dinger equation in Lobachevsky and Riemann 4-spaces has been solved in the presence of external magnetic field that is an analog of a uniform magnetic field in the flat space. Generalized Landau levels have been found, modified by the presence of the space curvature. In Lobachevsky4-model the energy spectrum contains discrete and continuous parts, the number of bound states is finite; in Riemann 4-model all energy spectrum is discrete. Generalized Landau levels are determined by three… Expand
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