Monday, November 26, 2012

1211.5313 (V. V. Kisel et al.)

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
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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