Propagation estimates for Dirac operators and application to scattering theory

被引：8
|
作者：
Daudé, T [1 ]
机构：
[1] Univ Bordeaux 1, MAB, UMR 5466, CNRS,Inst Math Bordeaux, F-33405 Talence, France
来源：
ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 06期
关键词：
partial differential equations; spectral theory; scattering theory; Dirac's equation; propagation estimates; Mourre theory;
D O I：
10.5802/aif.2074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.
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页码：2021 / +
页数：64
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