Richard C, Strungaru N (2017)
Publication Type: Journal article
Publication year: 2017
Book Volume: 50
Pages Range: 154003
Journal Issue: 15
URI: http://stacks.iop.org/1751-8121/50/i=15/a=154003
We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochner’s theorem from Fourier analysis. This clarifies a common view that the diffraction of a quasicrystal is determined by the diffraction of its underlying lattice. To illustrate our approach, we will also treat a number of well-known explicitly solvable examples.
APA:
Richard, C., & Strungaru, N. (2017). A short guide to pure point diffraction in cut-and-project sets. Journal of Physics A: Mathematical and Theoretical, 50(15), 154003.
MLA:
Richard, Christoph, and Nicolae Strungaru. "A short guide to pure point diffraction in cut-and-project sets." Journal of Physics A: Mathematical and Theoretical 50.15 (2017): 154003.
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