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

Mathematical Physics 2010-05-20 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1005.3501,
  title  = {Exact solutions for quantum mechanical particle with spin 1 in the external homogeneous magnetic field},
  author = {V. V. Kisel and E. M. Ovsiyuk and V. M. Red'kov},
  journal= {arXiv preprint arXiv:1005.3501},
  year   = {2010}
}

Comments

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