Effects of the magnetic fields on the helium white dwarfs structure

In this paper the effect of the magnetic field on the form of the equation of state and helium white dwarfs structure are discussed. The influence of the temperature and magnetic field on white dwarfs parameters have been investigated. The mass-radius relations for different parameters were obtained. The occurrence of unstable branches in the mass-radius relation are presented for the temperature equals T=3 10^8 K and for different values of the strength of magnetic field. Theoretical model of the star with two Landau levels is obtained.