X-ray edge singularity: Fredholm versus Wiener-Hopf method

被引：2
|
作者：
Janis, V
机构：
[1] Institute of Physics, Acad. of Sci. of the Czech Republic, CZ-18040 Praha 8
来源：
PHYSICA B-CONDENSED MATTER | 1996年 / 223-24卷 / 1-4期
关键词：
D O I：
10.1016/0921-4526(96)00189-5
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
Two methods, Fredholm and Wiener-Hopf, for solving the microscopic model of the X-ray edge singularity due to Mahan [Phys. Rev. 163 (1967) 612] and Nozieres and De Dominicis [Phys. Rev. 178 (1969) 1097] are compared. We analyze the conditions under which these methods deliver a unique (exact) solution. Two large (infinite) time scales must be introduced to distinguish the methods, relaxation time T and an effective lifetime of the excited electron-hole pair tau. It is shown that the edge behavior depends on the ratio T/tau being zero in the Fredholm and infinity in the Wiener-Hopf approach.
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页码：616 / 618
页数：3
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