56 citations · 120 across the 4 of their papers we have counts for
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math-ph2007★ 21 cited
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…
math-ph2007★ 6 cited
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…
math-ph2007★ 37 cited
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…