4 papers
Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients
Shi-Zhuo Looi, Ethan Sussman
Using the recent analysis of the output of the low-energy resolvent of Schrödinger operators on asymptotically conic manifolds (including Euclidean space) when the potential is sh…
On the convergence of the Born series for Coulomb potentials
Ethan Sussman, Jared Wunsch
We provide a short proof of the convergence of the Born series on asymptotically conic manifolds, at sufficiently high energy. The potential is allowed to have multiple Coulomb sin…
Complete asymptotic analysis of low energy scattering for Schrodinger operators with a short-range potential
Ethan Sussman
Recent work by Hintz--Vasy provides a partial asymptotic analysis of the low-energy limit of scattering for Schrödinger operators with a short-range potential. Using a slight refi…
Full semiclassical asymptotics near transition points
Ethan Sussman
We construct complete asymptotic expansions of solutions of the 1D semiclassical Schrödinger equation near transition points. There are three main novelties: (1) transition points…