A geometric procedure for the reduced-state-space quantisation of constrained systems
| dc.creator | Anastopoulos, Charis | |
| dc.date | 2004-11-27 | |
| dc.date.accessioned | 2026-07-07T03:29:12Z | |
| dc.date.available | 2026-07-07T03:29:12Z | |
| dc.description | We propose in this paper an alternative method for the quantisation of systems with first-class constraints. This method is a combination of the coherent-state-path-integral quantisation developed by Klauder, with the ideas of reduced state space quantisation. The key idea is that the physical Hilbert space may be defined by a coherent-state path-integral on the reduced state space and that the metric on the reduced state space that is necessary for the regularisation of the path-integral may be computed from the geometry of the classical reduction procedure. We provide a number of examples--notably the relativistic particle. Finally we discuss the quantisation of systems, whose reduced state space has orbifold-like singularities. | |
| dc.description | 16 pages, latex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0411130 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0411130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35126 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A geometric procedure for the reduced-state-space quantisation of constrained systems | |
| dc.type | text |