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arXiv · 1211.5313

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

V. V. Kisel·E. M. Ovsiyuk·O. V. Veko·V. M. Red'kov
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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.

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BibTeXRIS

V. V. Kisel, E. M. Ovsiyuk, O. V. Veko, V. M. Red'kov. 2012-11-22. Quantum mechanics for a vector particle in the magnetic field on 4-dimensional sphere. https://arxiv.org/abs/1211.5313

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