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German Sierra (Universidad Autónoma de Madrid)

The Riemann zeros as spectral lines

One hundred years ago it was conjectured by Polya and Hilbert that the zeros of the Riemann zeta function could be the eigenvalues of a quantum mechanical Hamiltonian. There are strong indications that this may be the case, however the so called Riemann Hamiltonian has remained elusive so far. Building on previous works by Berry, Keating and Connes we shall show that the Hamiltonian of an electron moving in a plane and subject to the action of magnetic and electric fields could provide hints to this long standing problem.

© 3º Encontro Ibérico de Matemática :: 2010