Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential

Abstract

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers $n$ and $l$. The non-relativistic limit of the bound state energy spectrum was also found.

15 pages, 1 table

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• 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
• Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state
• Approximate l-State Solutions of a Spin-0 Particle for Woods-Saxon Potential

Cited by in corpus (14)

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• Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the Eckart plus a class of Yukawa potential and its non-relativistic thermal properties
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulthén potential energy
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Bound state solutions of the Klein Gordon equation with energy-dependent potentials
• Supersymmetric Solutions of D-Dimensional Dirac Equation for Woods-Saxon Potential in Minimal Length Formalism