%0 Journal Article %T On a perturbation of a class of Schr"odinger systems in -spaces %A Elisabetta M. Mangino %A Luca Lorenzi %A Luciana Angiuli %J - %D 2018 %R DOI Code: 10.1285/i15900932v38n2p125 %X The aim of this short note is to prove a generation result of -semigroups in , with the characterization of the domain of their generators, for a perturbation of a class of matrix Schr"odinger operators by symmetric potential matrices whose entries can grow exponentially at infinity. A further perturbation by drift matrices with entries that can grow at most linearly at infinity, is considered. Finally, suitable assumptions which guarantee that the generated semigroups are analytic, are provided too %K Matrix Schr\"odinger operators %K characterization of the domain %K perturbation theory %K analytic semigroups %U http://siba-ese.unisalento.it/index.php/notemat/article/view/20055