1203.5003 (V. M. Red'kov et al.)

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

V. M. Red'kov, E. M. Ovsiyuk, V. V. Kisel

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.

View original: http://arxiv.org/abs/1203.5003