Quantum-Mechanical Dualities from Classical Phase Space

Details Quantum-Mechanical Dualities from Classical Phase Space Quantum-Mechanical Dualities from Classical Phase Space

2003-07-24

arxiv.org/abs/quant-ph/0307172v1

Phys.Lett. A317 (2003) 343-348

Physics

Quantum Physics

8 pages, Latex

Scientific paper

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.

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