Sufficient conditions for conservativity of minimal quantum dynamical semigroups

被引:106
作者
Chebotarev, AM [1 ]
Fagnola, F
机构
[1] Moscow MV Lomonosov State Univ, Quantum Stat Dept, Moscow 119899, Russia
[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy
关键词
D O I
10.1006/jfan.1997.3189
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a "generalized" subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability. (C) 1998 Academic Press.
引用
收藏
页码:382 / 404
页数:23
相关论文
共 24 条
[1]  
ACCARDI L, 1991, QUANTUM PROBABILITY, V6, P3
[2]  
Albeverio S., 1988, Solvable Models in Quantum Mechanics
[3]  
Alicki R., 1983, Annales de l'Institut Henri Poincare, Section A (Physique Theorique), V38, P187
[4]  
Alicki R., 2007, Volume 717 of Lecture Notes in Physics, V717
[5]  
Bhat BVR, 1996, RUSS J MATH PHYS, V4, P13
[6]  
BHAT BVR, 1994, QUANTUM PROBABILITY, V9, P89
[7]   SUFFICIENT CONDITIONS FOR DISSIPATIVE DYNAMIC SEMIGROUPS TO BE CONSERVATIVE [J].
CHEBOTAREV, AM .
THEORETICAL AND MATHEMATICAL PHYSICS, 1989, 80 (02) :804-818
[8]   SUFFICIENT CONDITIONS OF THE CONSERVATISM OF A MINIMAL DYNAMIC SEMIGROUP [J].
CHEBOTAREV, AM .
MATHEMATICAL NOTES, 1992, 52 (3-4) :1067-1077
[9]   SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF QUANTUM DYNAMICAL SEMIGROUPS [J].
CHEBOTAREV, AM ;
FAGNOLA, F .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 118 (01) :131-153
[10]  
CHEBOTAREV AM, 1990, 1 MIEM