@Article{EAJAM-9-2,
author = {},
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 = {https://global-sci.com/article/82601/non-existence-of-standard-wave-operators-for-fractional-laplacian-and-slowly-decaying-potentials}
}