A mechanism for generation of the solar magnetic field

We apply the mathematical technique of quantum mechanics for studying the process of solar magnetic field generation under conditions where the viscosity is negligible and the rotation velocity of the medium is independent of time. It is assumed that the magnetic field is almost toroidal, axially nonsymmetric, and antisymmetric with respect to the equatorial plane. We show that in the presence of an axisymmetric poloidal component of the hydrodynamic velocity and a radial gradient of the angular velocity of the medium, an oscillating solution growing in time exists for the field. The characteristic frequency of oscillations can exceed the rotation frequency if the rotation of the medium is nonuniform. In the case where the characteristic time of field growth amounts to 10 years, the radial velocity of the medium in the field-generation zone is approximately equal to 10 cm/sec. We also discuss briefly the problem of the existence of two field-generation zones. © 2001 Plenum Publishing Corporation.