13 citations · 36 across the 15 of their papers we have counts for
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math-ph2018★ 8 cited
Inverse scattering in Stark effect
Atsuhide Ishida
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…
math-ph2018★ 13 cited
Existence and nonexistence of wave operators for time-decaying harmonic oscillators
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic potentials decelerate the velocity of the charged particle but the particle never be trapped by this harmonic potentials. This physical phenomena…
math-ph2018
Nonexistence of usual wave operators for fractional Laplacian and slowly decaying potentials
Atsuhide Ishida
We consider quantum systems described by the fractional powers of the negative Laplacian and the interaction potentials. When a slowly decaying potential function is given, we prov…