Constraints on pure point diffraction on aperiodic point patterns of finite local complexity
Mathematical Physics
2022-02-09 v1 Other Condensed Matter
math.MP
Abstract
It is shown that the partial amplitudes of the pure point part of the diffraction spectrum of an aperiodic Delone point pattern of finite local complexity are linked by a set of linear constraints. These relations can be explicitly derived from the geometry of the prototile space of the underlying tiling.
Cite
@article{arxiv.2107.05671,
title = {Constraints on pure point diffraction on aperiodic point patterns of finite local complexity},
author = {Pavel Kalugin and André Katz},
journal= {arXiv preprint arXiv:2107.05671},
year = {2022}
}
Comments
29 pages, 8 figures