Physics – Quantum Physics
Scientific paper
2004-05-05
Physica E 27, 262 (2005)
Physics
Quantum Physics
10 pages, 2 figures, to appear in Physica E
Scientific paper
10.1016/j.physe.2004.11.008
The paper discusses the applicability of WKB and Born (small perturbations) approximations in the problem of the backscattering of quantum particles and classical waves by one-dimensional smooth potentials with amplitudes small compared to the energy of the incident particle (above-barrier scattering). Both deterministic and random potentials are considered. The dependence of the reflection coefficient and localization length on the amplitude and the longitudinal scale of the scattering potential is investigated. It is shown that perturbation and WKB theories are inconsistent in the above-barrier backscattering problem. Not only the solutions but the regions of validity of both methods as well depend strongly on the details of the potential profile, and are individual for each potential. A simple criterion that allows determining the boundary between the applicability domains of WKB and Born approximations is found.
Bliokh Konstantin Y.
Freilikher Valentin D.
Makarov Nykolay M.
No associations
LandOfFree
Scattering by one-dimensional smooth potentials: between WKB and Born approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Scattering by one-dimensional smooth potentials: between WKB and Born approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering by one-dimensional smooth potentials: between WKB and Born approximation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-712165