The Riemannium
| dc.creator | Leboeuf, P. | |
| dc.creator | Monastra, A. G. | |
| dc.creator | Bohigas, O. | |
| dc.date | 2001-01-08 | |
| dc.date.accessioned | 2026-07-07T05:33:16Z | |
| dc.date.available | 2026-07-07T05:33:16Z | |
| dc.description | The properties of a fictitious, fermionic, many-body system based on the complex zeros of the Riemann zeta function are studied. The imaginary part of the zeros are interpreted as mean-field single-particle energies, and one fills them up to a Fermi energy $E_F$. The distribution of the total energy is shown to be non-Gaussian, asymmetric, and independent of $E_F$ in the limit $E_F\to\infty$. The moments of the limit distribution are computed analytically. The autocorrelation function, the finite energy corrections, and a comparison with random matrix theory are also discussed. | |
| dc.description | 10 pages, 2 figures, 1 table | |
| dc.identifier | https://arxiv.org/abs/nlin/0101014 | |
| dc.identifier | http://arxiv.org/abs/nlin/0101014 | |
| dc.identifier | Reg. Chaot. Dyn. 6 (2001) 205-210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79941 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | The Riemannium | |
| dc.type | text |