WKB approximation in deformed space with minimal length and minimal momentum
Quantum Physics
2009-11-13 v2
Abstract
A Bohr-Sommerfeld quantization rule is generalized for the case of the deformed commutation relation leading to minimal uncertainties in both coordinate and momentum operators. The correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra.
Cite
@article{arxiv.0709.1321,
title = {WKB approximation in deformed space with minimal length and minimal momentum},
author = {T. V. Fityo and I. O. Vakarchuk and V. M. Tkachuk},
journal= {arXiv preprint arXiv:0709.1321},
year = {2009}
}
Comments
9 pages, the derivation of the main result is extended, typos are corrected