Using a Fermionic Ensemble of Systems to Determine Excited States
| dc.creator | Burda, Z. | |
| dc.creator | Sawicki, Pawel | |
| dc.date | 2000-11-27 | |
| dc.date.accessioned | 2026-07-07T10:51:56Z | |
| dc.date.available | 2026-07-07T10:51:56Z | |
| dc.description | We discuss a new numerical method for the determination of excited states of a quantum system using a generalization of the Feynman-Kac formula. The method relies on introducing an ensemble of non-interacting identical systems with a fermionic statistics imposed on the systems as a whole, and on determining the ground state of this fermionic ensemble by taking the large time limit of the Euclidean kernel. Due to the exclusion principle, the ground state of an $n$-system ensemble is realized by the set of individual systems occupying successively the $n$ lowest states, all of which can therefore be sampled in this way. To demonstrate how the method works, we consider a one-dimensional oscillator and a chain of harmonically coupled particles. | |
| dc.description | 14 pages, Latex + 4 eps figures | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0011082 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0011082 | |
| dc.identifier | J.Phys.A34:3947-3956,2001 | |
| dc.identifier | doi:10.1088/0305-4470/34/19/301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184990 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Condensed Matter | |
| dc.title | Using a Fermionic Ensemble of Systems to Determine Excited States | |
| dc.type | text |