The Metric of Quantum States Revisited

Details The Metric of Quantum States Revisited The Metric of Quantum States Revisited

2002-05-15

arxiv.org/abs/quant-ph/0205084v4

Physics Essays, Vol 19, No. 2 (2006)

Physics

Quantum Physics

14 pages;Published in Physics Essays; Revised as accepted for publication in Physics Essays

Scientific paper

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.

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