The observational data from the core of some galaxies
reveal that the inner part of a gas disk around a
supermassive black hole emits non-thermal adiation and
radio waves. This may be explained by synchrotron emission
from ultrarelativistic electron in a strong magnetic field
in the innermost orbits around a supermassive black hole.
In a realistic model of black hole accretion system, we
should consider interactions between plasma fluid and
magnetic field. However, to make a comprehensive
analyses, we give an external magnetic field and we
investigate in detail the motion of charged particles
confined in the external magnetic field around a rotating
black hole. We discuss the chaotic motion of charged
particles in a black hole magnetosphere and show the black
hole's spin effects on that chaotic motion.
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