Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential

Abstract

The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound-states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the noncentral equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three-dimensions given by other works.

20 pages

References in corpus (13)

• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Energy spectrum of the relativistic Dirac-Morse problem
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• Spectroscopy of $B_c$ meson in a semi-relativistic quark model using the shifted large-N expansion method
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• Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential
• Relativistic shape invariant potentials
• Polynomial Solution of Non-Central Potentials
• Solution of the relativistic Dirac-Morse problem
• B_c meson spectrum and hyperfine splittings in theshifted large-N-expansion technique
• B_{c} and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics
• Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential

Cited by in corpus (13)

• Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
• On the bound-state solutions of the Manning-Rosen potential including improved approximation to the orbital centrifugal term
• Approximate Analytical Solutions to Relativistic and Nonrelativistic Pöschl-Teller Potential with its Thermodynamic Properties
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• Formula Method for Bound State Problems
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• Non-Relativistic and Relativistic Equations for the Kratzer Potential plus a Dipole in 2D Systems
• Novel Bound States Treatment of the Two Dimensional Schrodinger Equation with Pseudocentral Plus Multiparameter Noncentral Potential
• Exact Quantization Rule to the Kratzer-Type Potentials: An Application to the Diatomic Molecules
• Solutions of the spatially-dependent mass Dirac equation with the spin and pseudo-spin symmetry for the Coulomb-like potential