One-dimensional Coulomb-like problem in general case of deformed space with minimal length
Quantum Physics
2017-12-07 v1
Abstract
We present a definition of the two-sided inverse of position operator in general case of deformed Heisenberg algebra leading to minimal length. Energy spectrum and eigenfunctions in momentum space for 1D Coulomb-like potential in deformed space are found exactly. We analyse the energy spectrum for different partial cases of deformation function and find that correction due to the deformation highly depends on type of the deformation function.
Keywords
Cite
@article{arxiv.1602.05905,
title = {One-dimensional Coulomb-like problem in general case of deformed space with minimal length},
author = {M. I. Samar and V. M. Tkachuk},
journal= {arXiv preprint arXiv:1602.05905},
year = {2017}
}
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12 pages