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Convex polytopes and quantization of symplectic manifolds

Quantum mechanics associate to some symplectic manifolds M a quantum model Q(M), which is a Hilbert space. The space Q(M) is the quantum mechanical analogue of the classical phase space M. We discuss here relations between the volume of M and the dimension of the vector space Q(M). Analogues for con...

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Pubblicato in:Proc Natl Acad Sci U S A
Autore principale: Vergne, Michèle
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 1996
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Accesso online:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC34162/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/11607717/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.93.25.14238
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