Functions and Analysis

A Hamiltonian Operator Whose Zeros Are the Roots of the Riemann XI-Function

Authors: Jose Javier Garcia Moreta
Comments: 20 pages.

We give a possible interpretation of the Xi-function of Riemann as the Functional determinant det(E-H) for a certain Hamiltonian quantum operator in one dimension (see paper) for a real-valued function V(x), this potential V is related to the half-integral of the logarithmic derivative for the Riemann Xi-function, through the paper we will assume that the reduced Planck constant is defined in units where h-bar = 1 and that the mass is 2m = 1
Category: Functions and Analysis