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math-ph2020
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…
math-ph2020
Threshold between short and long-range potentials for non-local Schrödinger operators
Atsuhide Ishida, Kazuyuki Wada
We develop scattering theory for non-local Schrödinger operators defined by functions of the Laplacian that include its fractional power with . In particula…
math-ph2020★ 11 cited
Critical scattering in a time-dependent harmonic oscillator
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first…