su(1,1) Coherent State of Position-dependent Effective Mass Model for a Type of the Pöschl-Teller Quantum Potential and Time Evolution Uncertainty Relation

L. Z. Namvar, H. Panahi, Amene Najafizade

International Journal of Theoretical PhysicsMar 4, 20260 citations

Physics Letters A

The position–momentum uncertainty relations for a Pöschl–Teller type potential and its squeezed phenomena

Chang-Yuan Chen, Yuan You, Fa‐Lin Lu, Shi‐Hai Dong

Published Mar 5, 2013• 23 citations

Publisher

DOI: 10.1016/j.physleta.2013.02.043

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su(1,1) Coherent State of Position-dependent Effective Mass Model for a Type of the Pöschl-Teller Quantum Potential and Time Evolution Uncertainty Relation

L. Z. Namvar, H. Panahi, Amene Najafizade

International Journal of Theoretical PhysicsMar 4, 20260 citations

Quantum information entropies for the

\ell

ℓ -state Pöschl–Teller-type potential

Quantum Information Entropies for the

\ell

-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

\ell

. The radial expectation values of

r^{-2}

r^{2}

and

p^{2}

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.