A Dirac-type variant of the xp-model and the Riemann zeros

作者:Gupta Kumar S*; Harikumar E; de Queiroz Amilcar R
来源:EPL, 2013, 102(1): 10006.
DOI:10.1209/0295-5075/102/10006

摘要

We propose a Dirac-type modification of the xp-model to a x sigma . p model on a semi-infinite cylinder. This model is inspired by recent work of 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.

  • 出版日期2013-4

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