Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions

Details Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions

2012-03-22

arxiv.org/abs/1203.5003v1

Physics

Mathematical Physics

21 pages

Scientific paper

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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