Quantum-Mechanical Dualities from Classical Phase Space
arXiv:quant-ph/0307172 · doi:10.1016/j.physleta.2003.08.063
Abstract
The geometry of the classical phase space C of a finite number of degrees of freedom determines the possible duality symmetries of the corresponding quantum mechanics. Under duality we understand the relativity of the notion of a quantum with respect to an observer on C. We illustrate this property explicitly in the case when classical phase space is complex n-dimensional projective space. We also provide some examples of classical dynamics that exhibit these properties at the quantum level.
8 pages, Latex