4 papers
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…
A Gutzwiller trace formula for singular potentials
Jared Wunsch, Mengxuan Yang, Yuzhou Joey Zou
The Gutzwiller trace formula relates the asymptotic spacing of quantum-mechanical energy levels in the semiclassical limit to the dynamics of periodic classical particle trajectori…
Singularities of Dirac-Coulomb propagators
Dean Baskin, Michał Wrochna, Jared Wunsch
In this paper we study singularities of propagators and -point functions for Dirac fields in a Coulomb potential, possibly with a -dependent smooth part for . W…
Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed
Euan A. Spence, Jared Wunsch, Yuzhou Zou
We consider Helmholtz problems with a perturbed wave speed, where the single-signed perturbation is linear in a parameter . Both the wave speed and the perturbation are allowed…