Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-I
General Physics
2008-09-09 v1
Abstract
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.
Cite
@article{arxiv.0809.1351,
title = {Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-I},
author = {Aalok Pandya},
journal= {arXiv preprint arXiv:0809.1351},
year = {2008}
}
Comments
22 Pages. To appear in -International Journal of Theoretical Physics