From the nonrelativistic Morse potential to a unified treatment of a large class of bound‐state solutions of a modified D‐dimensional Klein–Gordon equation

Abstract

Bound‐state solutions of the D‐dimensional Klein–Gordon equation for a large set of couplings and potential functions are generated from the nonrelativistic bound‐state solutions of the one‐dimensional generalized Morse potential. Added bonuses from these mappings are the straightforward determination of the critical attractive singular potential and the proper boundary condition on the radial eigenfunction at the origin.

An innovative treatment of anharmonic and Morse potentials to determine the spectroscopic constants of diatomic molecules

“…Driven quantum systems are of great physical interest from theoretical and experimental points of view through the study of laser-matter interaction. Among the many related phenomena is the question of studying the dynamics of several types of harmonic [1,2], pseudo-harmonic [3], and anharmonic oscillators [4,5], especially the coherent and squeezed states of the harmonic oscillator with varying frequency or a varying mass, optical parametric oscillators, driven Duffing oscillator, etc because they are very suitable systems and have several applications in different areas of physics [6][7][8] such as quantum optics, quantum field theory, cosmology, chemical physics, etc [9][10][11][12][13].…”