1205.3443 (E. M. Ovsiyuk)

Spin 1 field in the Lobachevsky space H_{3}: horospherical coordinates,
exact solutions    [PDF]

E. M. Ovsiyuk

A complete system of solutions for a field with spin 1 in the space of constant negative curvature, Lobachevsky space H_{3}, has been constructed. The treatment is based on 10-dimensional Duffin-Kemmer formalism extended to curved model according to tetrad method by Tetrode-Weyl-Fock-Ivanenko, and specified in horospherical coordinates. The solving procedure substantially uses a generalized helicity operator. The Lobachevsky geometry acts along z axis as a medium with simple reflecting properties. Restriction to massless case is performed as well.

View original: http://arxiv.org/abs/1205.3443