QUASI-PERIODIC PERTURBATIONS FOR THE ALFVEN-WAVE CONTINUOUS SPECTRA

A two-dimensional periodic modulation of an ambient magnetic field generates a quasiperiodic perturbation for the Alfven wave. A simple quasiperiodic wave equation has been derived, which resembles the Schrodinger equation for a valence electron in a one-dimensional quasicrystal. Let sigma be the tangent of the angle between the direction of the unperturbed magnetic field and the periodicity of the perturbation. If sigma is an irrational number, the perturbed wave potential is quasiperiodic. By a large perturbation, the Alfven continuum is changed into point spectra for almost all sigma.