Quantum mechanics for a vector particle in the magnetic field on 4-dimensional sphere
Mathematical Physics
2012-11-26 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Quantum-mechanical wave equation for a particle with spin 1 is investigated in presence of external magnetic field in spaces with non-Euclidean geometry with constant positive curvature. Separation of the variable is performed; differential equations in the variable r are solved in hypergeometric functions. T he study o f z-dependence of the wave function has been reduced to a system of three linked ordinary differential 2-nd order equations; till now the system in z variable is not solved.
Keywords
Cite
@article{arxiv.1211.5313,
title = {Quantum mechanics for a vector particle in the magnetic field on 4-dimensional sphere},
author = {V. V. Kisel and E. M. Ovsiyuk and O. V. Veko and V. M. Red'kov},
journal= {arXiv preprint arXiv:1211.5313},
year = {2012}
}
Comments
27 pages; Nauchno-Technicheskie Vedomosti. Saint Petersburg State Polytechnical University