  We consider whether an external electric field may cause the pair production
of open strings in a type IIA plane-wave background. The boundary states of
D-branes with condensates are constructed in the Green-Schwarz formulation of
superstring theory with the light-cone gauge. The cylinder diagrams are
computed with massive theta functions. Although the value of the electric field
is bounded by the upper value, there is no pole in the amplitudes and it
indicates that no pair production occurs in the plane-wave background. This
result would be universal for a class of plane-wave backgrounds.
