The asymptotic behaviour of a quantum mechanical wave-packet scattered by a potential will be considered. *The packet comes in towards the scatterer from a great distance and then recedes again after the collision, so it is only weakly affected by the potential during most of its history. Advantage can be taken of this fact by using a timedependent representation of the Hilbert space such that packets unaffected by the potential correspond to motionless elements of the representing functionspace. This is the so-called "interaction picture" of the process and is constructed as follows: Let the Hamiltonian H be the closure (which exists and is self-adjoint by [3]) of the sum K + V, where, with a proper choice of units,
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.