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Quantum-Mechanical Dualities from Classical Phase Space

J. M. Isidro
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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.

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J. M. Isidro. 2003-07-24. Quantum-Mechanical Dualities from Classical Phase Space. https://doi.org/10.1016/j.physleta.2003.08.063

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