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
   [PDF]

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: http://arxiv.org/abs/1308.0155

No comments:

Post a Comment