3 papers
math.AP2026
The asymptotic structure of forward scattering
Nicholas Lohr, Izak Oltman, Ethan Sussman +1
Perturbed plane waves are fundamental objects in scattering theory on Euclidean space and asymptotically Euclidean spaces. In this paper, we investigate the structure of perturbed…
math.AP2026
Semiclassical measures through Coulomb collisions
Nicholas Lohr
We prove that is a semiclassical measure associated to a sequence of eigenfunctions of energy of the attractive Coulomb operator if and only if is a probability measu…
math.AP2024
On the intertwining map between Coulomb and hyperbolic scattering
Nicholas Lohr
We construct a unitary operator between Hilbert spaces of generalized eigenfunctions of Coulomb operators and the Laplace-Beltrami operator of hyperbolic space that intertwines the…