Cyclotron radiation of magnetized degenerate dwarfs and neutron stars

It is widely accepted that many degenerate dwarfs and neutron stars have the strongest known magnetic fields B = 106 to 109 G and approximately > 1011 G, respectively. Gnedin and Sunayev noted the essential influence of strong magnetic fields on the radiation of compact stars and suggested observations of cyclotron lines as a method for measuring these fields. Their predictions were later confirmed observationally. For quantitative explanation of the observational data, for elaboration of theoretical models of concrete objects, and for predictions of new observational effects further development of the theory is necessary. Firstly, it is necessary to investigate the effects of strong magnetic fields on the absorption and emission of radiation. Different approximations of this theory are discussed. Secondly, the equation of radiation transfer should be solved in order to relate the parameters of emitting plasma with the characteristics of outgoing radiation. (author)