Approximate Analytical Solutions of the Klein-Gordon Equation for Hulthen Potential with Position-Dependent Mass

Abstract

The Klein-Gordon equation is solved approximately for the Hulthén potential for any angular momentum quantum number $\ell$ with the position-dependent mass. Solutions are obtained reducing the Klein-Gordon equation into a Schrödinger-like differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get an energy eigenvalue and and the wave functions. It is found that the results in the case of constant mass are in good agreement with the ones obtained in the literature.

15 pages, two tables

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Cited by in corpus (8)

• Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
• A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario
• Non-standard quantum algebras and infinite-dimensional PT-symmetric systems