Klein–Gordon equation

Diatomic molecule

Physics

Relativistic wave equations

Nonlinear system

Eigenvalues and eigenvectors

Bound state

Geometry

Degeneracy (biology)

Symmetry (geometry)

Molecule

Mathematics

Mathematical physics

Scalar (mathematics)

Bioinformatics

Quantum mechanics

Classical mechanics

Dirac equation

Potential energy

Biology

Journal of Physics Communications

We solve the D- dimensional Klein–Gordon equation with a newly proposed generalized hyperbolic potential model, under the condition of equal scalar and vector potentials. The relativistic bound state energy equation has been obtained via the functional analysis method. We obtained the relativistic and non-relativistic ro-vibrational energy spectra for different diatomic molecules. The numerical results for these diatomic molecules tend to portray inter-dimensional degeneracy symmetry. Variations of the energy eigenvalues obtained with the potential parameters have been demonstrated graphically. Our studies will find relevant applications in the areas of chemical physics and high-energy physics.

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions