Bound state solutions of the Deng-Fan molecular potential with the Pekeris-type approximation using the Nikiforov-Uvarov (N-U) method

DOI10.1007/S10910-012-0123-6zbMath1447.81222OpenAlexW2024205351MaRDI QIDQ1945520

O. J. Oluwadare, K. J. Oyewumi, K. D. Sen, O. A. Babalola

Publication date: 8 April 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0123-6

zbMATH Keywords

Schrödinger equationdiatomic moleculesDeng-Fan molecular potentialNikiforov-Uvarov (N-U) methodPekeris-type approximation scheme

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Interpolation in approximation theory (41A05) Molecular physics (81V55)

Related Items (6)

Exact solution of the Schrödinger equation with a Lennard-Jones potential ⋮ Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach ⋮ Topological effects on relativistic energy spectra of diatomic molecules under the magnetic field with Kratzer potential and thermodynamic-optical properties ⋮ Reflection and Transmission Coefficients of the Symmetric Barrier-Type Shifted Deng–Fan Potential ⋮ Eigen solutions of the D-dimensional Schrödinger equation with inverse trigonometry scarf potential and Coulomb potential ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation

Cites Work

• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• Analytical approximation to the solution of the Dirac equation with the Eckart potential including the spin-orbit coupling term
• Approximate analytical solutions of the Dirac equation with the hyperbolic potential in the presence of the spin symmetry and pseudo-spin symmetry
• Exactly complete solutions of the pseudoharmonic potential in \(N\)-dimensions
• Realization of the spectrum generating algebra for the generalized Kratzer potentials
• Modified \(\ell \)-states of diatomic molecules subject to central potentials plus an angle-dependent potential
• Spin Symmetry in Dirac-Attractive Radial Problem and Tensor Potential
• Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates
• On the bound-state solutions of the Manning–Rosen potential including an improved approximation to the orbital centrifugal term
• Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry
• SOLVING THE SCHRÖDINGER EQUATION FOR BOUND STATES WITH MATHEMATICA 3.0
• The Rotation-Vibration Coupling in Diatomic Molecules
• Relativistic Treatment of Spinless Particles Subject to a Rotating Deng—Fan Oscillator
• Generalized Morse potential: Symmetry and satellite potentials
• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• Arbitrary ell-state solutions of the rotating Morse potential by the asymptotic iteration method

This page was built for publication: Bound state solutions of the Deng-Fan molecular potential with the Pekeris-type approximation using the Nikiforov-Uvarov (N-U) method