Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential

Abstract

We present the exact solution of the Klein-Gordon equation in D-dimensions in the presence of the noncentral equal scalar and vector pseudoharmonic potential plus the new ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound-state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this noncentral ring-shaped pseudoharmonic potential can be reduced to the three-dimensional pseudoharmonic solution once the coupling constant of the noncentral part of the potential becomes zero.

25 pages

References in corpus (6)

• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Polynomial Solution of Non-Central Potentials
• Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method
• Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential

Cited by in corpus (16)

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• 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
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
• Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems
• Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
• Relativistic new Yukawa-like potential and tensor coupling
• Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
• Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any -state
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• A Laplace transform approach to find the exact solution of the N-dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Bound state solutions of the Klein Gordon equation with energy-dependent potentials
• Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model