Dynamical localization for a multi-particle model with an alloy-type external random potential

被引:21
作者
Chulaevsky, Victor [1 ]
de Monvel, Anne Boutet [2 ]
Suhov, Yuri [3 ,4 ,5 ]
机构
[1] Univ Reims, Dept Math, F-51687 Reims 2, France
[2] Univ Paris 07, Inst Math Jussieu, F-75013 Paris, France
[3] RAS, Inst Informat Transmiss Problems, Moscow 127994, Russia
[4] Univ Sao Paulo, IME, BR-05389970 Sao Paulo, Brazil
[5] Univ Cambridge, DPMMS, Cambridge CB3 0WB, England
关键词
D O I
10.1088/0951-7715/24/5/004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish lower-edge spectral and dynamical localization for a multi-particle Anderson model in a Euclidean space R-d, d >= 1, in the presence of a non-trivial short-range interaction and an alloy-type random external potential.
引用
收藏
页码:1451 / 1472
页数:22
相关论文
共 21 条
[1]   Moment analysis for localization in random Schrodinger operators [J].
Aizenman, M ;
Elgart, A ;
Naboko, S ;
Schenker, JH ;
Stolz, G .
INVENTIONES MATHEMATICAE, 2006, 163 (02) :343-413
[2]   BROWNIAN-MOTION AND HARNACK INEQUALITY FOR SCHRODINGER-OPERATORS [J].
AIZENMAN, M ;
SIMON, B .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (02) :209-273
[3]  
AIZENMAN M, 2009, ARXIVMATHPH09095432
[4]   Localization Bounds for Multiparticle Systems [J].
Aizenman, Michael ;
Warzel, Simone .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 290 (03) :903-934
[5]  
Chulaevsky V., 2010, ARXIVMATHPH10053387
[6]  
CHULAEVSKY V, 2010, ARXIV10073815
[7]   Wegner bounds for a two-particle tight binding model [J].
Chulaevsky, Victor ;
Suhov, Yuri .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 283 (02) :479-489
[8]   Eigenfunctions in a Two-Particle Anderson Tight Binding Model [J].
Chulaevsky, Victor ;
Suhov, Yuri .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (02) :701-723
[9]   Multi-particle Anderson Localisation: Induction on the Number of Particles [J].
Chulaevsky, Victor ;
Suhov, Yuri .
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2009, 12 (02) :117-139
[10]   LOCALIZATION FOR SOME CONTINUOUS, RANDOM HAMILTONIANS IN D-DIMENSIONS [J].
COMBES, JM ;
HISLOP, PD .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 124 (01) :149-180