13 citations · 36 across the 15 of their papers we have counts for
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math.FA2024★ 1 cited
Special potentials for relativistic Laplacians I: Fractional Rollnik-class
Giacomo Ascione, Atsuhide Ishida, József Lőrinczi
We propose a counterpart of the classical Rollnik-class of potentials for fractional and massive relativistic Laplacians, and describe this space in terms of appropriate Riesz pote…
math-ph2024
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…
math.AP2024★ 2 cited
On Schrödinger equation with square and inverse-square potentials
Atsuhide Ishida, Masaki Kawamoto
In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale inv…