Residential College | false |
Status | 已發表Published |
The x-ray problem revisited | |
Basor E.L.; Chen Y. | |
2003-04-04 | |
Source Publication | Journal of Physics A: Mathematical and General |
ISSN | 0305-4470 |
Volume | 36Issue:13Pages:175-180 |
Abstract | In this letter, we revisit the x-ray problem. Assuming point interaction between the conduction electrons and the instantaneously created core-hole, the latter's Green's function can be represented as a Fredholm determinant of certain Wiener-Hopf operators acting on L2(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 asymptotics. |
DOI | 10.1088/0305-4470/36/13/101 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS ID | WOS:000182485400001 |
Scopus ID | 2-s2.0-0037419269 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Recommended Citation GB/T 7714 | Basor E.L.,Chen Y.. The x-ray problem revisited[J]. Journal of Physics A: Mathematical and General, 2003, 36(13), 175-180. |
APA | Basor E.L.., & Chen Y. (2003). The x-ray problem revisited. Journal of Physics A: Mathematical and General, 36(13), 175-180. |
MLA | Basor E.L.,et al."The x-ray problem revisited".Journal of Physics A: Mathematical and General 36.13(2003):175-180. |
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