WKB approximation in deformed space with minimal length
Quantum Physics
2009-11-11 v2
Abstract
The WKB approximation for deformed space with minimal length is considered. The Bohr-Sommerfeld quantization rule is obtained. A new interesting feature in presence of deformation is that the WKB approximation is valid for intermediate quantum numbers and can be invalid for small as well as very large quantum numbers. The correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra.
Cite
@article{arxiv.quant-ph/0510018,
title = {WKB approximation in deformed space with minimal length},
author = {T. V. Fityo and I. O. Vakarchuk and V. M. Tkachuk},
journal= {arXiv preprint arXiv:quant-ph/0510018},
year = {2009}
}
Comments
13 pages Now it is avaible at http://stacks.iop.org/0305-4470/39/379