Phase Space Representations and Perturbation Theory for Continuous-time Histories
| dc.creator | Burch, Aidan | |
| dc.date | 2007-01-25 | |
| dc.date | 2007-07-23 | |
| dc.date.accessioned | 2026-07-07T10:38:48Z | |
| dc.date.available | 2026-07-07T10:38:48Z | |
| dc.description | We consider two technical developments of the formalism of continuous-time histories. First, we provide an explicit description of histories of the simple harmonic oscillator on the classical histories phase space, comparing and contrasting the Q, P and Wigner representations; we conclude that a representation based on coherent states is the most appropriate. Second, we demonstrate a generic method for implementing a perturbative approach for interacting theories in the histories formalism, using the quartic anharmonic oscillator. We make use of the identification of the closed-time path (CTP) generating functional with the decoherence functional to develop a perturbative expansion for the latter up to second order in the coupling constant. We consider both configuration space and phase space histories. | |
| dc.description | 22 pages; slightly shortened, more concise argumentation; ref. added | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0701186 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0701186 | |
| dc.identifier | J.Math.Phys.48:072106,2007 | |
| dc.identifier | doi:10.1063/1.2752009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180854 | |
| dc.subject | Quantum Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Phase Space Representations and Perturbation Theory for Continuous-time Histories | |
| dc.type | text |