Mass of highly magnetized white dwarfs exceeding the Chandrasekhar
  limit: An analytical view
  In recent years a number of white dwarfs has been observed with very high
surface magnetic fields. We can expect that the magnetic field in the core of
these stars would be much higher (~ 10^{14} G). In this paper, we analytically
study the effect of high magnetic field on relativistic cold electron, and
hence its effect on the stability and the mass-radius relation of a magnetic
white dwarf. In strong magnetic fields, the equation of state of the Fermi gas
is modified and Landau quantization comes into play. For relatively very high
magnetic fields (with respect to the energy density of matter) the number of
Landau levels is restricted to one or two. We analyse the equation of states
for magnetized electron degenerate gas analytically and attempt to understand
the conditions in which transitions from the zero-th Landau level to first
Landau level occur. We also find the effect of the strong magnetic field on the
star collapsing to a white dwarf, and the mass-radius relation of the resulting
star. We obtain an interesting theoretical result that it is possible to have
white dwarfs with mass more than the mass set by Chandrasekhar limit.
