Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method

Abstract

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the wave functions in terms of orthogonal polynomials. The results obtained in this work are more general and true for any dimension which can be reduced to the standard forms in three-dimensions given by other works.

16 pages

References in corpus (11)

• Supersymmetry and Quantum Mechanics
• Quantum Correction in Exact Quantization Rules
• Exact solution for Morse oscillator in PT-symmetric quantum mechanics
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
• Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
• An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
• Polynomial Solution of Non-Central Potentials
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential
• Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method

Cited by in corpus (21)

• 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
• Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• The Hulthen Potential in D-dimensions
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems
• The Schrodinger equation with Hulthen potential plus ring-shaped potential
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Exact Analytical Solution of the N-dimensional Radial Schrodinger Equation with Pseudoharmonic Potential via Laplace Transform Approach
• Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
• Quarkonium spectroscopy of the linear plus modified Yukawa potential
• Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
• Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-dimensional space
• The bound state solutions of the $D$-dimensional Schrödinger equation for the 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
• Closed analytical solutions of the d-dimensional Schrödinger equation with deformed Woods-Saxon potential plus double ring-shaped potential
• Supersymmetric Solutions of D-Dimensional Dirac Equation for Woods-Saxon Potential in Minimal Length Formalism