On a possible quantum contribution to the red shift
| dc.creator | Urbanowski, K. | |
| dc.date | 2008-06-17 | |
| dc.date.accessioned | 2026-07-07T09:45:17Z | |
| dc.date.available | 2026-07-07T09:45:17Z | |
| dc.description | We consider an effect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region: In 1957 Khalfin proved that this amplitude tends to zero as $t$ goes to the infinity more slowly than any exponential function of $t$. This effect can be described in terms of time-dependent decay rate $γ(t)$ and then the Khalfin result means that this $γ(t)$ is not a constant for long times but that it tends to zero as $t$ goes to the infinity. It appears that a similar conclusion can be drawn for the energy of the unstable state for a large class of models of unstable particles: This energy should be much smaller for suitably long times $t$ than the energy of this state for $t$ of the order of the lifetime of the considered state. Within a given model we show that the energy corrections in the long ($t \to \infty$) and relatively short (lifetime of the state) time regions, are different. It is shown that these corrections decrease to ${\cal E} = {\cal E}_{min} < {\cal E}_ϕ$ as $t \to \infty$, where ${\cal E}_ϕ$ is the energy of the system in the state $|ϕ>$ measured at times $t \sim τ_ϕ= \frac{\hbar}γ$. This is a purely quantum mechanical effect. It is hypothesized that there is a possibility to detect this effect by analyzing the spectra of distant astrophysical objects. The above property of unstable states may influence the measured values of astrophysical and cosmological parameters. | |
| dc.description | 13 pages, talk prepared for the Conference "Problems of Practical Cosmology" | |
| dc.identifier | https://arxiv.org/abs/0806.2870 | |
| dc.identifier | http://arxiv.org/abs/0806.2870 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163143 | |
| dc.subject | Quantum Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On a possible quantum contribution to the red shift | |
| dc.type | text |