Distances on a one-dimensional lattice from noncommutative geometry |
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Authors: | E. Atzmon |
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Affiliation: | (1) Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, Israel |
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Abstract: | In this Letter, we continue the work of Bimonte, Lizzi and Sparano on distances on a one-dimensional lattice. We succeed in analytically proving the exact formulae for such distances. We find that the distance to an even point on the lattice is the geometrical average of the predecessor and successor distances to the neighbouring odd points. |
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Keywords: | 14A22 |
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