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H = xp and the Riemann Zeros

Berry, M.V.; Keating J.P.

HPL-BRIMS-97-27

Keyword(s): Riemann hypothesis; quantum mechanics

Abstract: We speculate on the possibility that the imaginary parts of the nontrivial zeros of the Riemann zeta function are the eigenvalues of the quantum operator corresponding to the classical Hamiltonian H=xp.

13 Pages

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