The X-ray problem revisited
| dc.creator | Basor, Estelle L. | |
| dc.creator | Chen, Yang | |
| dc.date | 2003-02-12 | |
| dc.date.accessioned | 2026-07-07T04:29:47Z | |
| dc.date.available | 2026-07-07T04:29:47Z | |
| dc.description | In this letter we re-visit the X-ray problem. Assuming point interaction between the conduction electrons and the first instantaneously created core-hole, the latter's Green's function can be represented as a Fredholm determinant of certain Wiener-Hopf operators acting on L^2(0,T) with discontinuous symbols. Here the symbols are the local conduction electron Green's function in the frequency domain and T is the time the core-hole spends in the system before removal. In this situation, the classical theory of singular integral equations usually employed in the literature to compute the large T asymptotics of the Fredholm determinant ceased to be applicable. A rigorous theory first put forward in the context of operator theory comes into play and universal constants are found in the aymptotics. | |
| dc.description | 8 pages 0 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0302032 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0302032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57289 | |
| dc.subject | Mathematical Physics | |
| dc.title | The X-ray problem revisited | |
| dc.type | text |