2 papers
math.AP2025
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…
math.AP2024
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…