  We derive Spinless Salpeter equation for the positronium using the NRQED
Lagrangian. Consequently, we consider the Spinless Salpeter wavefunction
instead of the Schrodinger wavefunction to show that the NRQED calculation can
be done easier. We also discuss that the singularity of the Spinless Salpeter
wavefunction at the origin is necessary to cancel the ultraviolet divergence in
the NRQED calculations.
