coulomb operator 1eigenfunction concentration 1kepler flow 1moser-fock map 1semiclassical analysis 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Semiclassical measures through Coulomb collisions
Nicholas Lohr
The paper characterizes semiclassical measures arising from eigenfunctions of the attractive Coulomb operator as probability measures on the energy surface that are invariant under…
math.AP2025
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}Î_{\mathb…
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…