Evaluation of the bound state energies of some diatomic molecules from the approximate solutions of the Schrodinger equation with Eckart plus inversely quadratic Yukawa potential

Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

“…where C nl is the normalization constant. To obtain bound states energies, we must require that the series 2 F 1 (ζ 1 , ζ 2 , 2d; y) terminates, resulting in a polynomial of degree n. This means that in the recurrence relation (60), we must impose that a n+1 = 0, which leads to (with c 1 = 0)…”

“…To deal with these problems, it is often necessary to implement approximation techniques. As examples of investigation in this context, we can cite solutions of the Schrödinger equation with Eckart plus inversely quadratic Yukawa potentials [60], Hua plus modified Eckart potential with the centrifugal term [61], Manning-Rosen plus Hellmann potential and its thermodynamic properties [62], and shifted Deng-Fan potential model [63]. Then, studying the nonrelativistic quantum motion of a particle in the presence of both the Hulthén potential and the global monopole is a pertinent issue.…”