Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 233–240
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.230418.170918
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 233–240
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Scattering theory wave operator fractional Laplacian.