Fourier analysis applied to cyclotron resonance in metals having anisotropic Fermi surfaces

The electron motion along an anisotropic Fermi surface of a crystal submitt ed to the action of a constant magnetic field has been thoroughly analyzed in the framework of the Cartesian momentum-position coordinates representin g the Cartesian components of the electron wave vector perpendicular to the magnetic field. The Fermi surfaces examined in the paper belong to the tig htly bound s electrons moving in the field of perfect cubic lattices. The d eveloped Fourier analysis can be applied: first, to transition intensities between the Landau levels modified by the anisotropy of the Fermi surface; second, to parameters characterizing the resonance of the electron motion p erformed along the Fermi surface with a time-dependent external periodic pe rturbation; third, to the Hall conductivity in a weak-field regime. Inaccur acies of the oscillation frequencies obtained with the aid of the canonical perturbation theory are demonstrated for the case of the restricted Hamilt onians representing the electron motion in different cubic lattices. [S0163 -1829(99)09605-8].