Number Theory


Corrections to the wu-Sprung Potential for the Riemann Zeros and a New Hamiltonian Whose Energies Are the Prime Numbers

Authors: Jose Javier Garcia Moreta

We review the Wu-Sprung potential adding a correction involving a fractional derivative of Riemann Zeta function, we study a global semiclassical analysis in order to fit a Hamiltonian H=T+V fitting to the Riemann zeros and another new Hamiltonian whose energy levels are precisely the prime numbers, through these paper we use the notation loge (x) = ln(x) = log(x) for the logarithm , also unles we specify Σγ h(γ) means that we sum over ALL the imaginary parts of the nontrivial zero on both the upper and lower complex plane.

Comments: 10 pages

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Submission history

[v1] 23 Apr 2010
[v2] 18 May 2010
[v3] 14 Jun 2010

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