Spectral Theory of Massless Pauli-Fierz Models

被引：0

作者：

V. Georgescu

C. Gérard

J.S. Møller

机构：

[1] Université de Cergy-Pontoise,CNRS and Département de Mathématiques

[2] Université de Paris Sud,Département de Mathématiques

[3] Johannes Gutenberg Universität,FB Mathematik (17)

来源：

Communications in Mathematical Physics | 2004年 / 249卷

关键词：

Spectral Theory; Point Spectrum; Number Operator; Local Finiteness; Limit Absorption Principle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the spectral theory of massless Pauli-Fierz models using an extension of the Mourre method. We prove the local finiteness of point spectrum and a limiting absorption principle away from the eigenvalues for an arbitrary coupling constant. In addition we show that the expectation value of the number operator is finite on all eigenvectors.

引用

页码：29 / 78

页数：49

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