量子统计中的曲指数族子流形  

Submanifolds of Curved Exponential Family in Quantum Statistics

作　　者：韩栋[1] 孙华飞[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《北京理工大学学报》2009年第10期918-920,935,共4页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(10871218)

摘　　要：研究量子统计中曲指数族子流形的不同度量的对偶结构.重点考虑了Kubo-Mori度量.构建了一族α-联络,该联络对于Kubo-Mori度量是±1-仿射的.Quantum version of the curved exponential family is studied where its dual structure with different metrics.As an important case the Kubo-Mori metric is introduced.The α-connections are set up so that the exponential family is ±1-affine with respect to the Kubo-Mori metric.

关 键 词：量子统计 曲指数族 对偶结构 Kubo-Mori度量 

分 类 号：O186[理学—数学] O413[理学—基础数学]