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

Abstract

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.

24 pages, 11 figures

References in corpus (14)

• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• An improved approximation scheme for the centrifugal term and the Hulthen potential
• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Two approximations to the bound states of Dirac-Hulthen problem
• Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential
• Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials
• A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell
• Pseudospin symmetry in the relativistic Killingbeck potential: quasi-exact solution
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries

Cited by in corpus (11)

• Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
• Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method
• Thermodynamic properties of diatomic molecules systems under anharmonic Eckart potential
• Spectroscopic study of some diatomic molecules via the proper quantization rule
• Thermal and optical properties of two molecular potentials
• On the position dependent effective mass Hamiltonian
• Surface Interaction Effects to a Klein-Gordon Particle Embedded in a Woods-Saxon Potential Well in terms of Thermodynamic Functions
• A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulthén potential energy
• A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface Effect
• Quantum Pseudodots Under the External Vector and Scalar Fields
• SUSY-Nonrelativistic Quantum Eigenspectral Energy Analysis for Squared-Type Trigonometric Potentials Through Nikiforov-Uvarov Formalism