3 papers
nlin.CD2001
The Riemannium
P. Leboeuf, A. G. Monastra, O. Bohigas
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…
nlin.CD2000
Spectral spacing correlations for chaotic and disordered systems
O. Bohigas, P. Leboeuf, M. -J. Sanchez
New aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocov…
cond-mat.mes-hall1998
On the distribution of the total energy of a system on non-interacting fermions: random matrix and semiclassical estimates
O. Bohigas, P. Leboeuf, M. J. Sanchez
We consider a single particle spectrum as given by the eigenvalues of the Wigner-Dyson ensembles of random matrices, and fill consecutive single particle levels with n fermions. As…