SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS

被引：10
|
作者：
Froehlich, Juerg [1 ,2 ]
Griesemer, Marcel [3 ]
Sigal, Israel Michael [4 ]
机构：
[1] Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland
[2] IHES, Bures Sur Yvette, France
[3] Univ Stuttgart, Dept Math, D-70569 Stuttgart, Germany
[4] Univ Toronto, Dept Math, Bahen Ctr, Toronto, ON M5S 2E4, Canada
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2011年 / 23卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Non-relativistic quantum electrodynamics; renormalization group; local decay; spectral theory; scattering theory; theory of radiation; emission and absorption of light; ASYMPTOTIC COMPLETENESS; STATES; ATOMS; RESONANCES; SYSTEMS;
D O I：
10.1142/S0129055X11004266
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove a limiting absorption principle for the standard model of non-relativistic quantum electrodynamics (QED) and for Nelson's model describing interactions of electrons with phonons. To this end, we use the spectral renormalization group technique on the continuous spectrum in conjunction with Mourre theory.
引用
收藏
页码：179 / 209
页数：31
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