Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

Abstract

The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V (r) = D e (r/r e − r e /r) 2 type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H 2 , and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

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

“…Jia et al [22] investigated the bound state solution of the KG equation with an improved version of the Manning-Rosen potential model. Ortakaya [34] solved the D-dimensional KG equation and obtained the bound state energy spectrum for three different diatomic molecules using pseudoharmonic oscillator potential model. Chen et al [28] employed the improved MR potential energy in D-spatial dimensions to obtain the relativistic bound state energy equation.…”

Klein–Gordon equation for a charged particle in space-varying electromagnetic fields–A systematic study via the Laplace transform

“…The effect of an electromagnetic field on a charged particle studied lot and in spite of its long history [23][24][25][26], still requires additional study in terms of different mathematical methods for various em field profiles. Motivated by these circumstances, in this paper we try to examine exact solutions of the KG equation for some different spatially-dependent em profiles by the means of the Laplace transformation method which is a very elegant technique, and can be used to transform a second order linear differential equation with coefficients that are linear in independent variable into a first order one [27][28][29][30]. Various useful properties of this integral transform ease out the scenario of finding energy eigenvalues and corresponding eigenfunctions.…”

Approximate solution of Schrödinger equation for X1Σ+g state of CS2 molecule through proper quantization rule method

“…Ikhdair et al 5 studied on the bound state energies and wave functions for a particle exposed to the Hulthén potential field in the Ddimensional space. Ortakaya 6 Manning-Rosen potential [10][11][12] .…”