A short guide to pure point diffraction in cut-and-project sets

Richard C, Strungaru N (2017)


Publication Type: Journal article

Publication year: 2017

Journal

Book Volume: 50

Pages Range: 154003

Journal Issue: 15

URI: http://stacks.iop.org/1751-8121/50/i=15/a=154003

Abstract

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.

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How to cite

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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