Abstract
This note is about the construction of energy-independent potentials from the Tamm-Dancoff equations, by a systematic method of Klein's. It is shown that, when the method is applied to the new Tamm-Dancoff equation of Dyson, the difficulty of the spurious singularities can be overcome. It is proved further that the old and new Tamm-Dancoff methods give the same potential in the adiabatic limit.