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Energies Spectra and Thermodynamic Properties of Hyperbolic Pöschl–Teller Potential (HPTP) Model

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Abstract

We solved the Dirac equation using modified factorization method with hyperbolic Pöschl–Teller potential model. Relativistic and non-relativistic ro-vibrational energy spectra were obtained and numerical solutions for four diatomic molecules \(\left( {{\text{HCl}},\;{\text{H}}_{2} ,\;{\text{CO}}\;{\text{and}}\;{\text{LiH}}} \right)\) obtained also. The eigenfunction for this potential has been obtained in terms of hypergeometric function. The energy variations with different potential parameters and quantum numbers of the hyperbolic Pöschl–Teller potential are also plotted. In addition, we evaluate the vibrational partition function and other thermodynamic properties such as vibrational internal energy, vibrational free energy, vibrational entropy and vibrational specific heat capacity, in terms of temperature and upper bound vibration quantum number. Our results are consistent with those found in the available literature.

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Authors and Affiliations

  1. Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria

    U. S. Okorie

  2. Department of Physics, University of South Africa, Florida, Johannesburg, 1710, South Africa

    A. N. Ikot, M. J. Sithole & G. J. Rampho

  3. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria

    U. S. Okorie, A. N. Ikot, E. O. Chukwuocha, M. C. Onyeaju & P. O. Amadi

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  1. U. S. Okorie
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  2. A. N. Ikot
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  3. E. O. Chukwuocha
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  4. M. C. Onyeaju
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Okorie, U.S., Ikot, A.N., Chukwuocha, E.O. et al. Energies Spectra and Thermodynamic Properties of Hyperbolic Pöschl–Teller Potential (HPTP) Model. Int J Thermophys 41, 91 (2020). https://doi.org/10.1007/s10765-020-02671-2

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