One dimensional Coulomb-like problem in deformed space with minimal length
Quantum Physics
2009-11-11 v2
Abstract
Spectrum and eigenfunctions in the momentum representation for 1D Coulomb potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that correction due to the deformation is proportional to square root of the deformation parameter. We obtain the same spectrum using Bohr-Sommerfeld quantization condition.
Cite
@article{arxiv.quant-ph/0507117,
title = {One dimensional Coulomb-like problem in deformed space with minimal length},
author = {T. V. Fityo and I. O. Vakarchuk and V. M. Tkachuk},
journal= {arXiv preprint arXiv:quant-ph/0507117},
year = {2009}
}
Comments
11 pages, typos corrected, references added