Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions
Red'kov, V. M. · Ovsiyuk, E. M. · Kisel, V. V.
Original · EN
Spin 1 particle is investigated in 3-dimensional curved space of constant positive curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional Duffin-Kemmer equation in quasi cylindrical coordinates. The problem is solved exactly in hypergeometric functions, the energy spectrum determined by three discrete quantum numbers is obtained. Transition to a massless case of electromagnetic field is performed.
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