Quantum inverse scattering for time-decaying harmonic oscillators
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929438747262976 |
|---|---|
| author | Ishida, Atsuhide |
| author_facet | Ishida, Atsuhide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_06686 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum inverse scattering for time-decaying harmonic oscillators Ishida, Atsuhide Mathematical Physics 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. |
| title | Quantum inverse scattering for time-decaying harmonic oscillators |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2307.06686 |