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Nuclear Physics B
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 Jost like function which is analytic in the complex upper half plane. This function vanishes, either on the real axis, corresponding to bound states, or below it, corresponding to resonances. We find potentials for which the resonances converge asymptotically toward the average position of the Riemann zeros. Thesedoi:10.1016/j.nuclphysb.2007.03.049 fatcat:rj4q7xfrknda7j6mndq63si2iq