The Metric of Quantum States Revisited
Quantum Physics
2007-05-23 v4
Abstract
A generalised 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 generalised definition. The metric of quantum states in the configuration space and its possible geometrical framework is explored. Also, invariance of the metric of quantum states under local gauge transformations, coordinate transformations, and the relativistic transformations is discussed.
Keywords
Cite
@article{arxiv.quant-ph/0205084,
title = {The Metric of Quantum States Revisited},
author = {Aalok Pandya and Ashok K. Nagawat},
journal= {arXiv preprint arXiv:quant-ph/0205084},
year = {2007}
}
Comments
14 pages;Published in Physics Essays; Revised as accepted for publication in Physics Essays