Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED

被引：7

作者：

Bony, Jean-Francois ^{[1
]}

Faupin, Jeremy ^{[1
]}

机构：

[1] Univ Bordeaux 1, Inst Math Bordeaux, UMR CNRS 5251, F-33405 Talence, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 03期

关键词：

Non-relativistic QED; Resolvent estimates; Local energy decay; Mourre theory; ASYMPTOTIC COMPLETENESS; SPECTRAL-ANALYSIS; SYSTEMS;

D O I：

10.1016/j.jfa.2011.10.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon dynamics for quantum states in a spectral interval / just above the ground state energy. Our results are uniform with respect to I. Their proofs are based on abstract Mourre's theory, a Mourre inequality established by Frohlich. Griesemer and Sigal (see Frohlich et al. (2008) [14]), Hardy-type estimates in Fock space, and a low-energy dyadic decomposition. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：850 / 888

页数：39

共 18 条

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