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Journal of Mathematical Chemistry

Quantum information entropies for the $$\ell $$ ℓ -state Pöschl–Teller-type potential

W. A. Yahya, K. J. Oyewumi, K. D. Sen

Published Jun 7, 2016• 22 citations
Publisher
DOI
10.1007/s10910-016-0650-7

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Quantum information entropies for the ℓ\ell ℓ ℓ -state Pöschl–Teller-type potential
Quantum Information Entropies for the ℓ\ellℓ-state Pöschl-Teller-type potential
In this study, we obtained the position-momentum uncertainties and some uncertainty relations for the Pöschl-Teller-type potential for any ℓ\ellℓ. The radial expectation values of r−2r^{-2}r−2, r2r^{2}r2 and p2p^{2}p2 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.