On Lieb's conjecture
| dc.creator | Scutaru, Horia | |
| dc.date | 1999-09-20 | |
| dc.date.accessioned | 2026-07-07T04:32:58Z | |
| dc.date.available | 2026-07-07T04:32:58Z | |
| dc.description | The reformulation of Lieb's conjecture, in the frame of the harmonuic analysis on the SO(3) group, makes it evident that the exact value of the classical entropy of a pure quantum state, which belongs to the Hilbert space of a (2J+1)-dimensional, unitary, irreducible representation of the SO(3) group, depends only on the parameters which characterize the orbits of this representation. In the case J=1 we give the exact analytic dependence of the classical entropy of a quantum state on the parameters which characterize the orbits and as a consequence we obtain a verification of Lieb's entropy conjecture. We verify this conjecture also for any value of J for the states of the canonical basis of the Hilbert space of the representation. A natural generalization of Lieb's entropy conjecture, which is a new "phenomenon" in the harmonic analysis on SO(3), is discussed in the case J=1. | |
| dc.description | 6 pages, REVTeX, no figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/9909024 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9909024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58398 | |
| dc.subject | Mathematical Physics | |
| dc.title | On Lieb's conjecture | |
| dc.type | text |