General form the Schrodinger Equation: dPsi/dt = -iH/hbar Psi

Quantum Field theories are not usually presented in this form because it's intrinsically nonrelativistic, but if you pick a reference frame, you can dump the time derivative on the left and everything else on the right as part of H and there you go.

So it's equivalent. As calef says, there are good reasons not to actually do anything with it in that form.