Coherent state approach to quantum clock in a model where the Hamiltonian is a difference between two harmonic oscillators
| dc.creator | Ohkuwa, Yoshiaki | |
| dc.date | 1999-10-21 | |
| dc.date | 1999-10-22 | |
| dc.date.accessioned | 2026-07-07T03:33:38Z | |
| dc.date.available | 2026-07-07T03:33:38Z | |
| dc.description | In order to study the "problem of time", Rovelli proposed a model of a two harmonic oscillator system where one of the oscillators can be thought of as a 'clock' for the other oscillator. In this paper we examine a model where the Hamiltonian is a difference between two harmonic oscillators, and we consider one of them which has the minus sign as a 'clock'. Klauder's projection operator approach to generalized coherent states is used to define physical states and operators. The resolution of unity is derived in terms of a gauge invariant coordinate. We investigate the 'quantum clock' and show that the evolution described by it is identical to the classical motion when the energy becomes large. | |
| dc.description | 19 pages, Latex, 1 figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9910071 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9910071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36647 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Coherent state approach to quantum clock in a model where the Hamiltonian is a difference between two harmonic oscillators | |
| dc.type | text |