@Article{EAJAM-9-233,
author = {Atsuhide Ishida},
title = {Non-Existence of Standard Wave Operators for Fractional Laplacian and Slowly Decaying Potentials},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {2},
pages = {233--240},
abstract = {<p style="text-align: justify;">Quantum systems described by the fractional powers of the negative Laplacian and the interaction potentials are considered. If the potential function slowly decays
and the Dollard-type modified wave operators exist and are asymptotically complete, we
prove that the factional Laplacian does not possess the standard wave operators. This
result suggests the borderline between the short- and long-range behaviour.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.230418.170918 },
url = {http://global-sci.org/intro/article_detail/eajam/13079.html}
}