Some remarks on Schr{\"o}dinger operators

The problem we consider is given a mixed model $F(\gamma) \rightarrow \gamma \rightarrow \tilde{\gamma}$andapotential$\widehat{V}$suchthat$\log \widehat{V} \in L^{1}$,todetermineamovement$U$suchthat$F(U \gamma)=F(\gamma) + \widehat{V}$.