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Quantum information entropies for the \(\ell \)-state Pöschl–Teller-type potential

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Abstract

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.

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Acknowledgments

We thank the kind referees for their comments. YAW appreciates Kwara State University, Nigeria for granting permission to conduct the research at UNILORIN. KJO thanks University of Ilorin and University of Hyderabad, TWAS support is acknowledged. KDS thanks SERB, New Delhi for award of J.C. Bose Fellowship under which this work was carried out.

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Authors and Affiliations

  1. Theoretical Physics Section, Department of Physics, University of Ilorin, Ilorin, Nigeria

    W. A. Yahya & K. J. Oyewumi

  2. Department of Physics and Material Science, Kwara State University, Malete, Nigeria

    W. A. Yahya

  3. School of Chemistry, University of Hyderabad, Hyderabad, 500046, India

    K. D. Sen

Authors
  1. W. A. Yahya
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  2. K. J. Oyewumi
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  3. K. D. Sen
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Correspondence to K. J. Oyewumi.

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Yahya, W.A., Oyewumi, K.J. & Sen, K.D. Quantum information entropies for the \(\ell \)-state Pöschl–Teller-type potential. J Math Chem 54, 1810–1821 (2016). https://doi.org/10.1007/s10910-016-0650-7

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  • DOI: https://doi.org/10.1007/s10910-016-0650-7

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