On a perturbation of a class of Schr"odinger systems in -spaces

摘要: The aim of this short note is to prove a generation result -semigroups in , with the characterization domain their generators, for perturbation class matrix Schr"odinger operators by symmetric potential matrices whose entries can grow exponentially at infinity. A further drift that most linearly infinity, considered. Finally, suitable assumptions which guarantee generated semigroups are analytic, provided too.