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

Physics – Mathematical Physics

Scientific paper

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8 pages, International Seminar NPCS-2010, 18-21 May, 2010, Minsj, Belarus

Scientific paper

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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