Work

Solution of the Woods-Saxon Potential and its Application for Study of Thermodynamic Properties

Year: 2024

Type: article

Abstract: : This work presents an exact analytical solution for the Schrödinger equation with the Woods-Saxon potential. To achieve this, the factorization method is utilized with the Pekeris approximation applied to the centrifugal potential for arbitrary l states. The resulting solution provides both the wave functions of the potential expressed in the hypergeometric function and the energy eigenvalues. Additionally, the study calculates the thermodynamic properties of the Woods-Saxon potential in its classical limit, including the vibrational partition function, mean vibrational energy, vibrational specific heat, vibrational mean free energy, and vibrational entropy. Keywords: Woods-Saxon Potential, Schrodinger equation, Thermodynamic properties, Factorization method. PACS numbers: 11.15.Ha, 12.38.Gc.

Source: Jordan Journal of Physics

DOI: 10.47011/17.4.2

Authors: Derar Altarawneh, Abdullah Shukri, Akpan Ikot

Institutions: Tafila Technical University, Yarmouk University, University of Port Harcourt, Western Caspian University

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4406774382

FWCI: 0.164

Cites:

Cited by: 1

Related to: 10