Quantum Information Entropies for the $\ell$-state P\"oschl-Teller-type potential
Quantum Physics
2014-09-26 v1 Information Theory
math.IT
Abstract
In this study, we obtained the position-momentum uncertainties and some uncertainty relations for the P\"oschl-Teller-type potential for any . The radial expectation values of , and are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-based uncertainty relation and the Cramer-Rao inequality hold for this even power potential. Some numerical and graphical results are displayed.
Cite
@article{arxiv.1409.7264,
title = {Quantum Information Entropies for the $\ell$-state P\"oschl-Teller-type potential},
author = {W. A. Yahya and K. J. Oyewumi and K. D. Sen},
journal= {arXiv preprint arXiv:1409.7264},
year = {2014}
}