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Quantum mechanics for a vector particle in the magnetic field on 4-dimensional sphere

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.

preprint2012arXivOpen access
V. V. KiselE. M. OvsiyukO. V. VekoV. M. Red'kov
math-phmath.MPhep-thquant-ph
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V. V. KiselE. M. OvsiyukO. V. VekoV. M. Red'kov

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