The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions

Abstract

An approximate solution of the Klein-Gordon equation for the general Hulthén-type potentials in $D$-dimensions within the framework of an approximation to the centrifugal term is obtained. The bound state energy eigenvalues and the normalized eigenfunctions are obtained in terms of hypergeometric polynomials.

6 pages

References in corpus (5)

• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Hamiltonian hierarchy and the Hulthen potential
• Supersymmetry, Variational Method and Hulthén Potential

Cited by in corpus (17)

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• Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
• Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions
• Scattering and Bound State Solutions of Asymmetric Hulthén Potential
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• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any -state
• Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
• The Semileptonic $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ Decays in Isgur-Wise Approach
• Analytical approximate bound state solution of Schrödinger equation in $D$-dimensions with a new mixed class of potential for arbitrary $\ell$-state via asymptotic iteration method
• An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
• The scattering phase shifts of the Hulthén-type potential plus Yukawa potential