Physics – Mathematical Physics
Scientific paper
2000-12-14
Physics
Mathematical Physics
18 pages
Scientific paper
We 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.
Giachetta Giovanni
Mangiarotti Luigi
Sardanashvily Gennadi
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