(p,q)-Sheaves and the Representability Problem
| dc.creator | Panin, A. I. | |
| dc.date | 2002-10-18 | |
| dc.date.accessioned | 2026-07-07T05:48:15Z | |
| dc.date.available | 2026-07-07T05:48:15Z | |
| dc.description | General properties of new models of the electronic Fock spaces based on the notion of (p,q)-sheaves are studied. Interrelation between simple sheaves and density operators is established. Explicit expressions for the transformed reduced Hamiltonians in terms of the standard creation-annihilation operators are presented. General scheme of parametrization of p-electron states by k-electron means (k=2,3,...) is described and studied in detail for the case of sheaves induced by k-electron wavefunctions. It is demonstrated that under certain conditions p-electron problem may be reformulated as the eigenvalue problem in k-electron space equipped with certain p-electron metric. Simple numerical examples are given to illustrate our approach. | |
| dc.description | 41 pages, latex, no figures, submitted to IJQC | |
| dc.identifier | https://arxiv.org/abs/physics/0210070 | |
| dc.identifier | http://arxiv.org/abs/physics/0210070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84959 | |
| dc.subject | Chemical Physics | |
| dc.title | (p,q)-Sheaves and the Representability Problem | |
| dc.type | text |