The Geometry of Quantum Mechanics

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dc.creatorIsidro, J. M.
dc.date2001-10-17
dc.date.accessioned2026-07-07T10:53:40Z
dc.date.available2026-07-07T10:53:40Z
dc.descriptionA recent notion in theoretical physics is that not all quantum theories arise from quantising a classical system. Also, a given quantum model may possess more than just one classical limit. These facts find strong evidence in string duality and M-theory, and it has been suggested that they should also have a counterpart in quantum mechanics. In view of these developments we propose "dequantisation", a mechanism to render a quantum theory classical. Specifically, we present a geometric procedure to "dequantise" a given quantum mechanics (regardless of its classical origin, if any) to possibly different classical limits, whose quantisation gives back the original quantum theory. The standard classical limit $\hbar\to 0$ arises as a particular case of our approach.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0110151
dc.identifierhttp://arxiv.org/abs/hep-th/0110151
dc.identifierJ.Phys.A35:3305,2002
dc.identifierdoi:10.1088/0305-4470/35/14/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185561
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subjectQuantum Physics
dc.titleThe Geometry of Quantum Mechanics
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