Tadayoshi Adachi | Searcharxiv

arXiv2023

On multidimensional inverse scattering under the Stark effect

We study one of multidimensional inverse scattering problems for quantum systems in a constant electric field, by utilization of the Enss-Weder time-dependent method. The main purpose of this paper is to propose some methods of sharpening key estimates in the analysis, which are much simpler than those in the previous works. Our methods give an appropriate class of short-range potentials which can be determined uniquely by scattering operators, that seems natural in terms of direct scattering problems.

math-ph↗

arXiv2019

On the Mourre estimates for three-body Floquet Hamiltonians

In this paper, we consider the Floquet Hamiltonian $K$ associated with a three-body Schrödinger operator with time-periodic pair potentials $H(t)$. By introducing a conjugate operator $A$ for $K$ in the standard Mourre theory, we prove the Mourre estimate for $K$.

math-ph↗