Energy-dependent effective interactions for dilute many-body systems
| dc.creator | Collin, A. | |
| dc.creator | Massignan, P. | |
| dc.creator | Pethick, C. J. | |
| dc.date | 2006-10-11 | |
| dc.date.accessioned | 2026-07-07T07:40:21Z | |
| dc.date.available | 2026-07-07T07:40:21Z | |
| dc.description | We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in the quasiclassical approximation when there is a trapping potential in addition to the short-range interaction between a pair of particles. We calculate numerically energy levels for the case of an interaction with a short-range square-well and a harmonic trapping potential and show that the numerical results agree well with the analytical expression. We derive a generalized Gross--Pitaevskii equation which includes effective range corrections and discuss the form of the electron--atom effective interaction to be used in calculations of Rydberg atoms and molecules. | |
| dc.description | 6 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610314 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610314 | |
| dc.identifier | Phys. Rev. A 75, 013615 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.75.013615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121750 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Energy-dependent effective interactions for dilute many-body systems | |
| dc.type | text |