Time delay in simple one-dimensional systems
Abstract
The time delay or the time advance in the scattering of simple one-dimensional systems can be evaluated in a straightforward manner for certain potential models. It is found that when the interacting potential is attractive and has a strength such that it nearly supports an additional bound state, the time delay at small scattering energy is very large. On the other hand, if the potential supports a bound state with nearly zero binding energy, the time advance near threshold is anomalously large. The behavior of a wave packet scattering from the double delta-function potential is also investigated.
- Publication:
-
American Journal of Physics
- Pub Date:
- June 1992
- DOI:
- 10.1119/1.16866
- Bibcode:
- 1992AmJPh..60..520V
- Keywords:
-
- 03.65.Nk;
- 03.80.+r;
- Scattering theory