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arXiv · 2307.06686

Quantum inverse scattering for time-decaying harmonic oscillators

Atsuhide Ishida
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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.

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Atsuhide Ishida. 2023-07-13. Quantum inverse scattering for time-decaying harmonic oscillators. https://arxiv.org/abs/2307.06686

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