Spectral properties of quantum $N$-body systems versus chaotic properties of their mean field approximations
| dc.creator | Castiglione, Patrizia | |
| dc.creator | Jona-Lasinio, Giovanni | |
| dc.creator | Presilla, Carlo | |
| dc.date | 1996-04-15 | |
| dc.date.accessioned | 2026-07-07T10:57:51Z | |
| dc.date.available | 2026-07-07T10:57:51Z | |
| dc.description | We present numerical evidence that in a system of interacting bosons there exists a correspondence between the spectral properties of the exact quantum Hamiltonian and the dynamical chaos of the associated mean field evolution. This correspondence, analogous to the usual quantum-classical correspondence, is related to the formal parallel between the second quantization of the mean field, which generates the exact dynamics of the quantum $N$-body system, and the first quantization of classical canonical coordinates. The limit of infinite density and the thermodynamic limit are then briefly discussed. | |
| dc.description | 15 pages RevTeX, 11 postscript figures included with psfig, uuencoded gz-compressed .tar file | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9604084 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9604084 | |
| dc.identifier | J.Phys.A29:6169-6182,1996 | |
| dc.identifier | doi:10.1088/0305-4470/29/19/005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186901 | |
| dc.subject | Condensed Matter | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Quantum Physics | |
| dc.title | Spectral properties of quantum $N$-body systems versus chaotic properties of their mean field approximations | |
| dc.type | text |