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Inverse scattering in Stark effect

Inverse scattering in Stark effect

来源:Arxiv_logoArxiv
英文摘要

We study one of the multidimensional inverse scattering problems for quantum systems governed by the Stark Hamiltonians. By applying the time-dependent method developed by Enss and Weder in 1995, we prove that the high-velocity limit of the scattering operator determines uniquely the short-range interaction potentials. Moreover, we prove that, when a long-range interaction potential is given, the high-velocity limit of the Dollard-type modified scattering operator determines uniquely the short-range part of the interactions. We allow the potential functions to belong to very broad classes. These results are improvements on the previous results obtained by Adachi and Maehara in 2007 and Adachi, Fujiwara, and Ishida in 2013.

Atsuhide Ishida

10.1088/1361-6420/ab2fec

物理学

Atsuhide Ishida.Inverse scattering in Stark effect[EB/OL].(2018-11-22)[2025-08-23].https://arxiv.org/abs/1811.09113.点此复制

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