HIlbert-Polya conjecture proof of RH through Quantum mechanics

1. Oct 18, 2007

josegarc

The main idea to prove RH through the HIlbert Polya conjecture , is
finding a Hamiltonian H=p^2 V(x) (QM) , so its energies are
precisely the imaginary parts of the Non-trivial zeros.

Using the Von Mangoldt formula for the Chebyshev function,
differentiating respect to x , and setting x=exp(u) we can get an
expression for the Trace of the operator exp(iuH).

Using the WKB expansion we can obtain an integral equation for V(x) .

www.wbabin.net/science/moreta1.pdf

To se the original manuscript published at the 'General Science
Journal'

If we consider that V. Mangoldt formula is completely correct, then
the proposed trace for exp(iuH) given at the paper is just the ONLY
possible one, the Nonlinear integral equation can be solved by
Numerical methods

2. Oct 21, 2007

leptonsoliton

There are two problems with this approach before you even get started: 1) The Hilbert Polya CONJECTURE would have to be proved first, and 2) it would then have to be proved that the HP conjecture implied RH.

3. Oct 25, 2007

leptonsoliton

I suppose I should clarify for the one or two of you who haven't figured it out by now -- RH means Riemann Hypothesis, which is one of the hottest unsolved problems in math.