  A fully algebraic general approach is developed to treat the pairs emission
and absorption in the presence of some uniform external background field. In
particular, it is shown that the pairs production and annihilation operators,
together with the pairs number operator, do actually fulfill the SU(2)
functional Lie algebra. As an example of application, the celebrated Schwinger
formula is consistently and nicely recovered, within this novel approach, for a
Dirac spinor field in the presence of a constant and homogeneous electric field
in four spacetime dimensions.
