Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-11-08
Class.Quant.Grav. 14 (1997) 385-390
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Revtex, 14 pages
Scientific paper
10.1088/0264-9381/14/2/012
It is considered, in the framework of constrained systems, the quantum dynamics of non-relativistic particles moving on a d-dimensional Riemannian manifold M isometrically embedded in $R^{d+n}$. This generalizes recent investigations where M has been assumed to be a hypersurface of $R^{d+1}$. We show, contrary to recent claims, that constrained systems theory does not contribute to the elimination of the ambiguities present in the canonical and path integral formulations of the problem. These discrepancies with recent works are discussed.
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