Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state

Abstract

In this work, the analytical solution of the radial Schrödinger equation for the Woods-Saxon potential is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for arbitrary $l$ states. The bound state energy eigenvalues and corresponding eigenfunctions are obtained for various values of $n$ and $l$ quantum numbers.

14 pages

References in corpus (5)

• Supersymmetry and Quantum Mechanics
• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
• Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
• A new method for the solution of the Schrodinger equation

Cited by in corpus (18)

• Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential
• Analytical solutions of the Klein-Fock-Gordon equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
• Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
• Comparative effect of an addition of a surface term to the Woods-Saxon potential on the thermodynamics of a nucleon
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Remarks on the Woods-Saxon Potential
• Surface Interaction Effects to a Klein-Gordon Particle Embedded in a Woods-Saxon Potential Well in terms of Thermodynamic Functions
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface Effect
• Closed analytical solutions of the d-dimensional Schrödinger equation with deformed Woods-Saxon potential plus double ring-shaped potential
• Supersymmetric Solutions of D-Dimensional Dirac Equation for Woods-Saxon Potential in Minimal Length Formalism