The Spectral Shift Function and the Friedel Sum Rule

被引：0
|
作者：
Mahito Kohmoto
Tohru Koma
Shu Nakamura
机构：
[1] The University of Tokyo,The Institute for Solid State Physics
[2] Gakushuin University,Department of Physics
[3] University of Tokyo,Graduate School of Mathematical Sciences
来源：
Annales Henri Poincaré | 2013年 / 14卷
关键词：
Trace Formula; Invariance Principle; Trace Class; Spectral Projection; Excess Charge;
D O I：
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学科分类号：
摘要：
We study the relationship between the spectral shift function and the excess charge in potential scattering theory. Although these quantities are closely related to each other, they have been often formulated in different settings so far. Here, we first give an alternative construction of the spectral shift function, and then we prove that the spectral shift function thus constructed yields the Friedel sum rule.
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页码：1413 / 1424
页数：11
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