Anomalous Threshold Laws in Quantum Sticking
| dc.creator | Clougherty, Dennis P. | |
| dc.date | 2003-10-17 | |
| dc.date.accessioned | 2026-07-07T02:54:17Z | |
| dc.date.available | 2026-07-07T02:54:17Z | |
| dc.description | It has been stated that for a short-ranged surface interaction, the probability of a low-energy particle sticking to a surface always vanishes as $s\sim k$ with $k\to 0$ where $k=\sqrt{E}$. Deviations from this so-called universal threshold law are derived using a linear model of particle-surface scattering. The Fredholm theory of integral equations is used to find the global conditions necessary for a convergent solution. The exceptional case of a zero-energy resonance is considered in detail. Anomalous threshold laws, where $s\sim k^{1+α}, α> 0$ as $k\to 0$, are shown to arise from a soft gap in the weighted density of states of excitations; $α$ is determined by the behavior of the weighted density of states near the binding energy. | |
| dc.description | 9 pages, to appear in Phys. Rev. Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310428 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310428 | |
| dc.identifier | Phys. Rev. Lett. 91, 226105 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.226105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22482 | |
| dc.subject | Condensed Matter | |
| dc.subject | Atomic Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Anomalous Threshold Laws in Quantum Sticking | |
| dc.type | text |