A geometric approach to the canonical reformulation of quantum mechanics

Mohammad Mehrafarin

Published 2004-09-15, updated 2006-05-20Version 2

The measure of distinguishability between two neighboring preparations of a physical system by a measurement apparatus naturally defines the line element of the preparation space of the system. We point out that quantum mechanics can be derived from the invariance of this line element in the canonical formulation. The canonical formulation of quantum statistical mechanics is also discussed.