Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics

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dc.creatorGiachetta, G.
dc.creatorMangiarotti, L.
dc.creatorSardanashvily, G.
dc.date2000-12-14
dc.date.accessioned2026-07-07T04:28:12Z
dc.date.available2026-07-07T04:28:12Z
dc.descriptionWe show that non-relativistic and relativistic mechanical systems on a configuration space Q can be seen as the conservative Dirac constraint systems with zero Hamiltonians on different subbundles of the same cotangent bundle T^*Q. The geometric quantization of this cotangent bundle under the vertical polarization leads to compatible covariant quantizations of non-relativistic and relativistic Hamiltonian mechanics.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0012030
dc.identifierhttp://arxiv.org/abs/math-ph/0012030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56697
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleGeometric quantization of non-relativistic and relativistic Hamiltonian mechanics
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