4 papers · 1 filter
Inverse scattering for -body time-decaying harmonic oscillators
Atsuhide Ishida
In the previous study (Ishida, 2025), the author proved the uniqueness of short-range potential functions using the Enss-Weder time-dependent method (Enss and Weder, 1995) for a tw…
Minimal velocity bound for Schroedinger-type operator with fractional powers
Atsuhide Ishida
It is known in scattering theory that the minimal velocity bound plays a conclusive role in proving the asymptotic completeness of the wave operators. In this study, we prove the m…
Inverse scattering for repulsive potential and strong singular interactions
Atsuhide Ishida
In a previous work of 2014 on a quantum system governed by the repulsive Hamiltonian, the author proved uniqueness for short-range interactions described by a scattering operator c…
Quantum inverse scattering for time-decaying harmonic oscillators
Atsuhide Ishida
Different from the usual harmonic oscillator, the time-decaying harmonic oscillator accelerates particles and generates scattering states. We study one of the multidimensional inve…