Exact solutions of the Dirac equation in the expanding de Sitter universe

On the basis of the method of separation of variables, the complete set of exact solutions of the Dirac equation in the non-static coordinates of the de Sitter space is constructed. In the separation of variables, the formalism of the Wigner D-functions is used. The square and the third projection of the total angular momentum, as well as the space reflection operators are diagonalized on the solutions. Equations for lire radial variable lead to a discrete spectrum of the separation constant. The asymptotic properties of the solutions for radial ant time variables are investigated. (authors)