205 citations · 3k across the 122 of their papers we have counts for
4 papers · 1 filter
A quantum mechanical model of the Riemann zeros
German Sierra
In 1999 Berry and Keating showed that a regularization of the 1D classical Hamiltonian H = xp gives semiclassically the smooth counting function of the Riemann zeros. In this paper…
On the Quantum Reconstruction of the Riemann zeros
German Sierra
We discuss a possible spectral realization of the Riemann zeros based on the Hamiltonian perturbed by a term that depends on two potentials, which are related to the Berry…
DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with Ferro-Antiferromagnetic couplings
J. Almeida, M. A. Martin-Delgado, G. Sierra
We obtain the phase diagram in the parameter space and an accurate estimate of the critical line separating the different phases. We show several measuments of the magn…
H = x p with interaction and the Riemann zeros
German Sierra
Starting from a quantized version of the classical Hamiltonian H = x p, we add a non local interaction which depends on two potentials. The model is solved exactly in terms of a Jo…