Convex polytopes and quantization of symplectic manifolds.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 11607717.
- Also identified by PMC identifier 34162.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
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 convex polyhedra are considered.