  We apply the non-linear Euler-Heisenberg theory to calculate the electric
field inside the hydrogen atom. We will demonstrate that the electric field
calculated in the Euler-Heisenberg theory can be much smaller than the
corresponding field emerging from the Maxwellian theory. In the hydrogen atom
this happens only at very small distances. This effect reduces the large
electric field inside the hydrogen atom calculated from the electromagnetic
form-factors via the Maxwell equations. The energy content of the field is
below the pair production threshold.
