Collapse models: analysis of the free particle dynamics
| dc.creator | Bassi, A. | |
| dc.date | 2004-10-27 | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:11Z | |
| dc.date.available | 2026-07-07T12:56:11Z | |
| dc.description | We study a model of spontaneous wavefunction collapse for a free quantum particle. We analyze in detail the time evolution of the single-Gaussian solution and the double-Gaussian solution, showing how the reduction mechanism induces the localization of the wavefunction in space; we also study the asymptotic behavior of the general solution. With an appropriate choice for the parameter $λ$ which sets the strength of the collapse mechanism, we prove that: i) the effects of the reducing terms on the dynamics of microscopic systems are negligible, the physical predictions of the model being very close to those of standard quantum mechanics; ii) at the macroscopic scale, the model reproduces classical mechanics: the wavefunction of the center of mass of a macro-object behaves, with high accuracy, like a point moving in space according to Newton's laws. | |
| dc.description | 13 pages, RevTeX. Note added at the end of the paper, which corrects a mistake in Eqs. (12) and (13) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0410222 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0410222 | |
| dc.identifier | J. Phys. A: Math. Gen. 38 (2005) 3173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224501 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Collapse models: analysis of the free particle dynamics | |
| dc.type | text |