QUANTIZATION OF CLOSED ORBITS IN DIRAC THEORY BY MASLOV COMPLEX GERM METHOD

On the basis of Maslov's complex germ method for the Dirac operator in external electromagnetic and torsion fields the quasi-classical spect ral series corresponding within the limit HBAR --> 0 to the electron m otion along closed stable orbits has been constructed. The quai-classi cal energy spectrum is found from the condition of quantization of the se orbits, and the quasi-classical asymptotics corresponding to the la tter form a complete set of localized quantum state. The method is ill ustrated in all details by the electron motion in the axial fields as an example.