We propose a new quantization scheme with which and by the equation of
motion the quantization problem of both independent and dependent int
eracting fields in QED can be solved simultaneously. When the external
gauge field A(mu)(ex)(x) not equivalent to 0 (i.e., the Fermion field
psi(x) and the electromagnetic field A(mu)(x) are independent of each
other) our scheme gives the same result as the usual quantization app
roach. When the external gauge field is absent the usual quantization
conditions fail since it is not compatible with equation of motion, me
anwhile our scheme is still valid. These results are demonstrated with
solvable QED in 1+ 1 dimension.