Sunday, August 4, 2013

1308.0155 (Sameer M. Ikhdair et al.)

Approximate Analytical Solutions to Relativistic and Nonrelativistic
Pöschl-Teller Potential with its Thermodynamic Properties

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.
View original:

No comments:

Post a Comment