Approximate Analytical Solutions to Relativistic Andnonrelativistic Pöschl–Teller Potential with its Thermodynamic Properties
Publication Type
Original research
Authors
  • Sameer M. Ikhdair
  • Babatunde J. Falaye

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.

Journal
Title
Chem. Phys., 421, 84-95
Publisher
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Publisher Country
Palestine
Publication Type
Both (Printed and Online)
Volume
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Year
2013
Pages
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