Quantum inverse scattering for time-decaying harmonic oscillators
Mathematical Physics
2024-07-30 v4 math.MP
Abstract
Different from the usual harmonic oscillator, the time-decaying harmonic oscillator accelerates particles and generates scattering states. We study one of the multidimensional inverse scatterings in this two-body quantum system perturbed by short-range potential functions that have a bounded part and a locally singular part. Applying the Enss--Weder time-dependent method, we prove that the scattering operator determines the potential functions uniquely.
Cite
@article{arxiv.2307.06686,
title = {Quantum inverse scattering for time-decaying harmonic oscillators},
author = {Atsuhide Ishida},
journal= {arXiv preprint arXiv:2307.06686},
year = {2024}
}