  This article investigates the Schwinger effect for fermions with background
electric and magnetic fields of constant strengths from the point of view of a
uniformly accelerated or the Rindler observer. The Dirac equation is solved in
a closed form, and the field quantisation in the $(3+1)$-dimensional Rindler
spacetime is performed. The orthonormal local in and out modes for the causally
disconnected right and left wedges and the Bogoliubov relations between them
are obtained. Next, the global modes are constructed to cover the whole
spacetime, and the Bogoliubov relationship between the local and global
operators is found. Using them the squeezed state expansion of the global
vacuum in terms of local states is acquired and accordingly, the spectra of
created particles is found. Clearly, there are two sources of particle creation
in this scenario -- the Schwinger as well as the Unruh effects. Our chief aim
is to investigate the role of the strength of the background electromagnetic
fields on the spectra of created particles. We also discuss very briefly some
possible implication of this result in the context of quantum entanglement.
