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arxiv: 1205.6755 · v3 · pith:HJRQECWYnew · submitted 2012-05-30 · 🧮 math-ph · cond-mat.str-el· hep-th· math.MP· quant-ph

A Dirac type xp-Model and the Riemann Zeros

classification 🧮 math-ph cond-mat.str-elhep-thmath.MPquant-ph
keywords modelriemannxp-modelzerosdiractypeberry-keatingcharge
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We propose a Dirac type modification of the xp-model to a $x \slashed{p}$ model on a semi-infinite cylinder. This model is inspired by recent work by Sierra et al on the xp-model on the half-line. Our model realizes the Berry-Keating conjecture on the Riemann zeros. We indicate the connection of our model to that of gapped graphene with a supercritical Coulomb charge, which might provide a physical system for the study of the zeros of the Riemann Zeta function.

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