The Metric of Quantum States Revisited

被引：1
|
作者：
Pandya, Aalok [1 ,2 ]
Nagawat, Ashok K. [1 ]
机构：
[1] Univ Rajasthan, Dept Phys, Jaipur 302004, Rajasthan, India
[2] Jaipur Engn Coll & Res Ctr JECRC, Jaipur, Rajasthan, India
来源：
PHYSICS ESSAYS | 2006年 / 19卷 / 02期
关键词：
quantum state space; projective Hilbert space; manifold; pseudo-Riemannian manifold; local gauge transformations; invariance; connections; projections; fiber bundle; symmetries;
D O I：
10.4006/1.3025793
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalized definition of the metric of quantum states is proposed by using the techniques of differential geometry. The metric of quantum state space derived earlier by Anandan is reproduced and verified here by this generalized definition. The metric of quantum states in the configuration space and its possible geometrical framework are explored. Also, invariance of the metric of quantum states under local gauge transformations, coordinate transformations, and the relativistic transformations is discussed.
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页码：263 / 268
页数：6
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