Atsuhide Ishida: On inverse scattering for time-decaying harmonic oscillators

Different from the usual harmonic oscillator, it is known that the time-decaying harmonic oscillator accelerates the particles and constructs the scattering state. We study one of the multidimensional inverse scattering in this two-body quantum system perturbed by the short-range interaction potentials that have the bounded part and locally singular part. In this talk, applying the Enss-Weder time-dependent method, we report that the scattering operator determines interaction potentials uniquely. This talk is based on arXiv: 2307.06686.

The zoom link to the talk is:

https://us06web.zoom.us/j/97594629945?pwd=MmFNaVk4a1FhdjEvc2RRdGdod0FpZz09 .