Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0012030,
title = {Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:math-ph/0012030},
year = {2007}
}
Comments
18 pages