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Spin 1 particle is investigated in 3-dimensional curved space of constantnegative curvature. An extended helicity operator is defined and the variablesare separated in a tetrad-based 10-dimensional Duffin--Kemmer equation in quasiCartesian coordinates. The problem is solved exactly in hypergeometricfunctions, the quantum states are determined by three quantum numbers. It isshown that Lobachevsky geometry acts effectively as a medium with simplereflecting properties. Transition to a massless case of electromagnetic fieldis performed.

Quasi-plane waves for spin 1 field in Lobachevsky space and a generalized helicity operator