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Approximate Analytical Solutions to Relativistic Andnonrelativistic Pöschl–Teller Potential with its Thermodynamic Properties

Sun, 2013-09-15 13:42 — Sameer. Ikhdair
Journal Title, Volume, Page: 
Chem. Phys., 421, 84-95
Year of Publication: 
2013
Link: 
http://arxiv.org/abs/1308.0155
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
Babatunde J. Falaye
Theoretical Physics Section, Department of Physics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria
Preferred Abstract (Original): 

We apply the asymptotic iteration method (AIM) to obtain the solutions of Schrodinger equation in the presence of Poschl-Teller (PT) potential. We also obtain the solutions of Dirac equation for the same potential under the condition of spin and pseudospin (p-spin) symmetries. We show that in the nonrelativistic limits, the solution of Dirac system converges to that of Schrodinger system. Rotational-Vibrational energy eigenvalues of some diatomic molecules are calculated. Some special cases of interest are studied such as s-wave case, reflectionless-type potential and symmetric hyperbolic PT potential. Furthermore, we present a high temperature partition function in order to study the behavior of the thermodynamic functions such as the vibrational mean energy U, specific heat C, free energy F and entropy S.

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