Analysis of N-dimensional Klein-Gordon equation for hydrogen molecule in the non-central potential field

DOI10.1016/j.aop.2018.07.033zbMath1398.81089OpenAlexW2883136426MaRDI QIDQ1798061

Aysen Durmus, Aysel Özfidan

Publication date: 23 October 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2018.07.033

zbMATH Keywords

asymptotic iteration methodKlein-Gordon equationhydrogen moleculehyperspherical coordinatesHartmann potential

Mathematics Subject Classification ID

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

Related Items (1)

Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Exact solutions of continuous states for Hartmann potential
• Exact solutions of the Dirac equation with scalar and vector Hartmann potentials
• Supersymmetry and Shape Invariance of Hartmann Potential and Ring-Shaped Oscillator Potential in the r and θ Dimensions of Spherical Polar Coordinates
• Systematic search of exactly solvable ring-shaped potential using the transformation method
• The relativistic scattering states of a spinless particle in the Hartmann potentials
• Asymptotic iteration method for eigenvalue problems
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Dynamical invariance algebra of the Hartmann potential
• Quantum scattering from the Coulomb potential plus an angle-dependent potential: a group-theoretical study
• Bound state solution of the Dirac equation for a new anharmonic oscillator potential
• Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials
• Evaluation of matrix elements ofr^kand recurrence relations for the Klein–Gordon equation with a Coulomb field
• Forces in Molecules

This page was built for publication: Analysis of N-dimensional Klein-Gordon equation for hydrogen molecule in the non-central potential field