1205.6755 (Kumar S. Gupta et al.)

A Dirac type xp-Model and the Riemann Zeros    [PDF]

Kumar S. Gupta, E. Harikumar, Amilcar R. de Queiroz

We propose a Dirac like modification of the xp-model to a $x \slashed{p}$ model on a semi-infinite cylinder. This model is inspired on 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.

View original: http://arxiv.org/abs/1205.6755