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The x-ray problem revisited
Basor E.L.; Chen Y.
2003-04-04
Source PublicationJournal of Physics A: Mathematical and General
ISSN0305-4470
Volume36Issue: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.

DOI10.1088/0305-4470/36/13/101
URLView the original
Indexed BySCIE
Language英語English
WOS IDWOS:000182485400001
Scopus ID2-s2.0-0037419269
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Document TypeJournal article
CollectionDEPARTMENT 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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