References & Citations
Mathematical Physics
Title: Quantum inverse scattering for time-decaying harmonic oscillators
(Submitted on 13 Jul 2023 (v1), last revised 25 Apr 2024 (this version, v3))
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 interaction potentials 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 interaction potentials uniquely.
Submission history
From: Atsuhide Ishida [view email][v1] Thu, 13 Jul 2023 11:14:39 GMT (11kb)
[v2] Thu, 22 Feb 2024 10:02:50 GMT (12kb)
[v3] Thu, 25 Apr 2024 14:33:46 GMT (12kb)
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