A Dirac type xp-Model and the Riemann Zeros
Mathematical Physics
2013-05-07 v3 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We propose a Dirac type modification of the xp-model to a 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.
Cite
@article{arxiv.1205.6755,
title = {A Dirac type xp-Model and the Riemann Zeros},
author = {Kumar S. Gupta and E. Harikumar and Amilcar R. de Queiroz},
journal= {arXiv preprint arXiv:1205.6755},
year = {2013}
}
Comments
5 pages, two-column, substantial modification to the text, new equations added