Exact solutions for quantum mechanical particle with spin 1 in the external homogeneous magnetic field

2010/05/19 by Kisel, V. V., Ovsiyuk, E. M., Red'kov, V. M.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #J.2 #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1005.3501

Abstract

With the use of the general covariant matrix 10-dimensional Petiau -- Duffin -- Kemmer formalism in cylindrical coordinates and tetrad there are constructed exact solutions of the quantum-mechanical equation for a particle with spin 1 in presence of an external homogeneous magnetic field. There are separated three linearly independent types of solutions; in each case the formula for energy levels has been found.

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