Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-I

被引：0
|
作者：
Aalok [1 ,2 ]
机构：
[1] Univ Rajasthan, Dept Phys, Jaipur 302004, Rajasthan, India
[2] Jaipur Engn Coll & Res Ctr, Jaipur 303905, Rajasthan, India
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2009年 / 48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; EVOLUTION; PHASE;
D O I：
10.1007/s10773-008-9828-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The geometry of the symplectic structures and Fubini-Study metric is discussed. Discussion in the paper addresses geometry of Quantum Mechanics in the classical phase space. Also, geometry of Quantum Mechanics in the projective Hilbert space has been discussed for the chosen Quantum states. Since the theory of classical gravity is basically geometric in nature and Quantum Mechanics is in no way devoid of geometry, the explorations pertaining to more and more geometry in Quantum Mechanics could prove to be valuable for larger objectives such as understanding of gravity.
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页码：522 / 534
页数：13
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