A Surprising Property of Multidimensional Hamiltonian Systems; Application to Semiclassical Quantization of Phase Space

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dc.creatorde Gosson, Maurice
dc.date2002-07-25
dc.date.accessioned2026-07-07T04:29:19Z
dc.date.available2026-07-07T04:29:19Z
dc.descriptionSymplectic topology has become a thriving area of research in mathematics and physics since Gromov's discovery in 1985 of a surprising property of canonical transformations (and hence of hamiltonian flows),"the principle of the symplectic camel". We exploit this property to show that the usually EBK quantization is equivalent to the physical assumption that the only allowewed semiclassical states are those with symplectic area nh+h/2. We introduce the terminology "quantum blobs" for these states. Quantum blobs are more general and powerful tools than the usual phase space cells of quantum statistics.
dc.descriptionno figures
dc.identifierhttps://arxiv.org/abs/math-ph/0207034
dc.identifierhttp://arxiv.org/abs/math-ph/0207034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57111
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleA Surprising Property of Multidimensional Hamiltonian Systems; Application to Semiclassical Quantization of Phase Space
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