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arXiv · 1205.6755

A Dirac type xp-Model and the Riemann Zeros

Kumar S. Gupta·E. Harikumar·Amilcar R. de Queiroz
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Abstract

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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Kumar S. Gupta, E. Harikumar, Amilcar R. de Queiroz. 2013-05-06. A Dirac type xp-Model and the Riemann Zeros. https://doi.org/10.1209/0295-5075%2F102%2F10006

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