Approximate eigensolutions, thermodynamic properties and expectation values of a mixed hyperbolic Pöschl–Teller potential (MHPTP)
Department of Physics, Federal University of Petroleum Resources, Effurun, Delta State, Nigeria
2 Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
Accepted: 30 June 2021
Published online: 10 July 2021
A mixed hyperbolic Pöschl–Teller potential (MHPTP) is studied under the Schrödinger equation in hyper-radial space via the WKB approximation and the generalized parametric Nikiforov-Uvarov (NU) methods. An improved approximation to the centrifugal barrier is used to obtain the energy spectrum and the normalized wave function in closed form. The thermodynamic properties are obtained from the partition function and the mean values are derived in closed-form using the Hellmann–Feynman theorem. The numerical results of the energy spectra of some previously studied Hyperbolic Pöschl–Teller functions are deduced from the MHPTP. The obtained results are in excellent agreement with the previous works. In comparison with the results obtained via the MATHEMATICA programme, the WKB energy produces slightly improved results in all cases compared to other analytical methods where similar centrifugal barrier approximation was used.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021