Low Energy Behavior of Quantum Adsorption
| dc.creator | Clougherty, D. P. | |
| dc.creator | Kohn, W. | |
| dc.date | 1992-05-05 | |
| dc.date.accessioned | 2026-07-07T03:06:40Z | |
| dc.date.available | 2026-07-07T03:06:40Z | |
| dc.description | We present an exact solution of a 1D model: a particle of incident energy $E$ colliding with a target which is a 1D harmonic ``solid slab'' with $N$ atoms in its ground state; the Hilbert space of the target is restricted to the ($N+1$) states with zero or one phonon present. For the case of a short range interaction, $V(z)$, between the particle and the surface atom supporting a bound state, an explicit non-perturbative solution of the collision problem is presented. For finite and large $N$, there is no true sticking but only so-called Feshbach resonances. A finite sticking coefficient ${\sl s}(E)$ is obtained by introducing a small phonon decay rate $η$ and letting $N\to\infty$. Our main interest is in the behavior of ${\sl s}(E)$ as $E\to 0$. For a short range $V(z)$, we find ${\sl s}(E)\sim E^{1/2}$, regardless of the strength of the particle-phonon coupling. However, if $V(z)$ has a Coulomb $z^{-1}$ tail, we find ${\sl s}(E)\toα$, where $0 < α< 1$. [A fully classical calculation gives ${\sl s}(E)\to 1$ in both cases.] We conclude that the same threshold laws apply to 3D systems of neutral and charged particles respectively. | |
| dc.description | 11 pages + 1 figure (included) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9205004 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9205004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26896 | |
| dc.subject | Condensed Matter | |
| dc.title | Low Energy Behavior of Quantum Adsorption | |
| dc.type | text |