THE GEOMETRY OF STATE-SPACE

被引:20
|
作者
ADELMAN, M [1 ]
CORBETT, JV [1 ]
HURST, CA [1 ]
机构
[1] UNIV ADELAIDE,DEPT PHYS & MATH SCI,ADELAIDE,SA 5001,AUSTRALIA
关键词
D O I
10.1007/BF01883625
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The geometry of the state space of a finite-dimensional quantum mechanical system, with particular reference to four dimensions, is studied. Many novel features, not evident in the two-dimensional space of a single spin, are found. Although the state space is a convex set, it is not a ball, and its boundary contains mixed states in addition to the pure states, which form a low-dimensional submanifold. The appropriate language to describe the role of the observer is that of flag manifolds.
引用
收藏
页码:211 / 223
页数:13
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