2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Semiclassical measures of eigenfunctions of the attractive Coulomb operator
Nicholas Lohr
We characterize the set of semiclassical measures corresponding to sequences of eigenfunctions of the attractive Coulomb operator $\widehat{H}_{\hbar}:=-\frac{\hbar^2}{2}Δ_{\mathbb…
Scaling Asymptotics of Wigner Distributions of Harmonic Oscillator Orbital Coherent States
Nicholas Lohr
The main result of this article gives scaling asymptotics of the Wigner distributions of isotropic harmonic oscillator orbital coherent states concentrati…