Analytical Solution Of Schrodinger Equation With Mie-Type Potential Using Factorisation Method

Ituen. B. Okon, Eno. E. Ituen, Oyebola Popoola, Akaninyene. D. Antia
2013 Zenodo  
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential using factorization method. We have also obtained energy eigenvalues of our potential and the corresponding wave function using an ansatz and then compare the result to standard Laguerre's differential equation. Under special cases our potential model reduces two well known potentials such as Coulomb and the Kratzer Feus potentials.
doi:10.5281/zenodo.3357185 fatcat:idrdx2oksfgtlpunvkyltfysii