A GAUGE FIELD GOVERNING PARALLEL TRANSPORT ALONG MIXED STATES

被引:147
作者
UHLMANN, A
机构
[1] Department of Physics, University of Leipzig, Leipzig
关键词
D O I
10.1007/BF00420373
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
At first, a short account is given of some basic notations and results on parallel transport along mixed states. A new connection form (gauge field) is introduced to give a geometric meaning to the concept of parallelity in the theory of density operators.
引用
收藏
页码:229 / 236
页数:8
相关论文
共 13 条
[1]   STOCHASTIC LINEAR-MAPS AND TRANSITION-PROBABILITY [J].
ALBERTI, PM ;
UHLMANN, A .
LETTERS IN MATHEMATICAL PHYSICS, 1983, 7 (02) :107-112
[2]   A REMARK ON TRANSITION-PROBABILITY [J].
ARAKI, H ;
RAGGIO, GA .
LETTERS IN MATHEMATICAL PHYSICS, 1982, 6 (03) :237-240
[4]  
BURES DJC, 1969, T AM MATH SOC, V135, P119
[5]  
DABROWSKI L, 1988, PL50125
[6]  
DABROWSKI L, SISSA15688FM
[7]  
DABROWSKI L, UWTHPH198836
[8]   HOLONOMY, THE QUANTUM ADIABATIC THEOREM, AND BERRY PHASE [J].
SIMON, B .
PHYSICAL REVIEW LETTERS, 1983, 51 (24) :2167-2170
[9]  
Uhlmann A., 1976, Reports on Mathematical Physics, V9, P273, DOI 10.1016/0034-4877(76)90060-4
[10]  
Uhlmann A., 1986, Reports on Mathematical Physics, V24, P229, DOI 10.1016/0034-4877(86)90055-8