Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential

Abstract

The one-dimensional effective-mass Klein-Gordon equation for the real, and non-PTsymmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave function. The energy eigenvalues, and the corresponding eigenfunctions are obtained.They are also calculated for the constant mass case.

Cornell and Coulomb interactions for the D‐dimensional Klein‐Gordon equation

“…Choosing an ansatz of the form [51][52][53][54] U n,l (r) = ∞ n=0 a n r n+µ e pr+ 1 2 qr 2 (20) we find ∞ n=0 a n (n + μ)…”

Quasi-exact thermodynamic properties of a relativistic spin-zero system under Cornell and generalized Morse potentials

“…By applying the same approach as in Section 2, the corresponding energy after algebra is found as [14]:…”

Bound‐states of diatomic molecules in the Dirac equation with the q‐deformed Morse potential

“…For instance, the s-wave solution of the Schrödinger eqaution for the Morse potenial has been obained for cases of fixed mass [11][12][13] and spatially dependent mass [17]. Also, the solutions of the Morse potential has also been discussed with both the Klein-Gordon [18,19] and Dirac [20] equations.…”

“…We start by defining the q-deformed Morse potential as follows [17,19,48,49,[53][54][55] (19) where α = ar e , x = (r − r e )/r e , V 1 = D e , V 2 = 2qD e , V 3 = q 2 D e . The range of the deformation parameter q in the above potential was taken as q > 0 by Ref.…”