Plane-wave solutions for a particle with spin 1/2 in the Lobachevsky space

In the article, a complete system of exact solutions of the Dirac equation in the Lobachevsky space by applying the method of separation of variables in quasi-Cartesian coordinates is constructed. The set of diagonalized operators consists of i∂t, i∂x, i∂y and the generalized helicity operator. These solutions generalize the plane waves of the Dirac particle in the flat space. (authors)