Abstract:
The generation and evolution of magnetic fields in spiral galaxies is traditionally described by the dynamo mechanism. Most studies focus on magnetic fields at moderate distances from the center of the galactic disk. However, the existence of a galactic magnetic field in the peripheral regions of the galactic disk is confirmed by numerical models. To estimate the scale of the magnetic field in the outer regions of a spiral galaxy, an eigenvalue problem can be solved based on previously used equations. The first eigenvalues and eigenfunctions for this problem are presented. The eigenvalues can be found both theoretically and numerically.