BROWNIAN-MOTION AND HARNACK INEQUALITY FOR SCHRODINGER-OPERATORS

被引:361
作者
AIZENMAN, M [1 ]
SIMON, B [1 ]
机构
[1] CALTECH,PASADENA,CA 91109
关键词
D O I
10.1002/cpa.3160350206
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:209 / 273
页数:65
相关论文
共 42 条
[1]   BOUNDS ON THE DECAY OF ELECTRON-DENSITIES WITH SCREENING [J].
AHLRICHS, R ;
HOFFMANNOSTENHOF, M ;
HOFFMANNOSTENHOF, T ;
MORGAN, JD .
PHYSICAL REVIEW A, 1981, 23 (05) :2106-2117
[2]  
BAETEMAN ML, 1976, ANN I H POINCARE A, V24, P1
[3]   CRITERION FOR CONVERGENCE OF KAC FUNCTIONALS AND APPLICATIONS IN QUANTUM-MECHANICS AND GEOMETRY [J].
BERTHIER, AM ;
GAVEAU, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 29 (03) :416-424
[4]  
Brascamp H. J., 1974, J FUNCTIONAL ANAL, V17, P227, DOI 10.1016/0022-1236(74)90013-5
[5]   REGULARITY PROPERTIES OF SCHRODINGER AND DIRICHLET SEMIGROUPS [J].
CARMONA, R .
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 33 (03) :259-296
[6]   KAC FUNCTIONAL AND SCHRODINGER-EQUATION [J].
CHUNG, KL ;
VARADHAN, SRS .
STUDIA MATHEMATICA, 1980, 68 (03) :249-260
[7]  
CHUNG KL, 1980, CR ACAD SCI A MATH, V290, P629
[8]  
CHUNG KL, 1980, LECT NOTES MATH, V784
[9]  
COMBESCURE M, 1976, ANN I H POINCARE A, V24, P17
[10]   POINTWISE BOUNDS ON EIGENFUNCTIONS AND WAVE PACKETS IN N-BODY QUANTUM SYSTEMS-IV [J].
DEIFT, P ;
HUNZIKER, W ;
SIMON, B ;
VOCK, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 64 (01) :1-34