Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Indian Journal of Physics

Fisher information entropies and the strength of an oscillator under a mixed hyperbolic Pöschl–Teller potential function

E. Omugbe, O. E. Osafile, I. B. Okon, Arezu Jahanshir, Ifeanyi Jude Njoku, C. A. Onate

Published Apr 17, 2023• 12 citations
Publisher
DOI
10.1007/s12648-023-02676-1

Related papers

Quantum information entropies of the eigenstates for the Poschl-Teller-like potential

Guohua, Sun, Avila +3 more

中国物理B：英文版•Jan 1, 2013•0 citations

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

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

Journal of Mathematical Chemistry•Jun 7, 2016•22 citations

Coherent Gamow states for the hyperbolic Pöschl–Teller potential

Osvaldo Civitarese, Manuel Gadella

Annals of Physics•Apr 24, 2019•6 citations

Vibrational Entropy and Complexity Measures in Modified Pöschl–Teller Plus Woods–Saxon potential

M. C. Onyeaju, C. A. Onate

Few-Body Systems•Jul 1, 2020•4 citations

Quantum Information Entropies for the $\ell$-state Pöschl-Teller-type potential

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

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.

arXiv:1409.7264•Sep 25, 2014•0 citations

Quantum-information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential

Rajneesh Atre, Anil Kumar, Nagaraja Kumar +1 more

The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound obtained by Beckner, Bialynicki-Birula, and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.

arXiv:quant-ph/0312095•Physical Review A•May 14, 2004•68 citations
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.
The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound obtained by Beckner, Bialynicki-Birula, and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.