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Nodal surfaces of Fourier series: Fundamental invariants of structured matter

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Zeitschrift für Physik B Condensed Matter

Abstract

Periodic Nodal Surfaces (PNS) of Fourier series are derived and classified as fundamental invariants of structured matter. Relationships to periodic minimal surfaces PMS and to periodic zero potential surfaces (POPS) are given. A basic set of cubic PNS is represented in arithmetic form. The special importance of the invariance of the zeros to the type of the potential is stressed.

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von Schnering, H.G., Nesper, R. Nodal surfaces of Fourier series: Fundamental invariants of structured matter. Z. Physik B - Condensed Matter 83, 407–412 (1991). https://doi.org/10.1007/BF01313411

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  • DOI: https://doi.org/10.1007/BF01313411

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