Aalok Pandya, Ashok K. Nagawat
Published 2002-05-15, updated 2006-12-26Version 4
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.
Comments: 14 pages;Published in Physics Essays; Revised as accepted for publication in Physics Essays
Journal: Physics Essays, Vol 19, No. 2 (2006)
Energy-Sensitive and "Classical-like" Distances Between Quantum States
Aharonov-Bohm Effect and Coordinate Transformations
Quantum mappings acting by coordinate transformations on Wigner distributions
