Saying that Schroedinger's equation is a non-relativistic limit is a bit misleading. The typical choice of Hilbert spaces, sure, is non-relativistic. But QFT and any other quantum theory, is basically Schroedinger's equation on a sufficiently weird Hilbert space (from second quantization, graphs, grids, or strings)
If you (and the cited wikipedia article a few comments up) mean i d/dt | psi > = H | psi > then sure, that might refer to a relativistic theory and in that sense my comment was imprecise. But showing that a given Hamiltonian is relativistic generally requires work, and I still think there is merit to my point that these theories seem to start 'at the wrong end'.
