A numerical method for fractional Schrödinger equation of Lennard-Jones potential

Publication date: Available online 12 July 2019Source: Physics Letters AAuthor(s): Marwan Al-Raeei, Moustafa Sayem El-DaherAbstractDepending on fractional analysis, we find a numerical algorithm to solve the time-independent fractional Schrödinger equation in case of Lennard-Jones potential in one dimension. We apply the algorithm for multiple values of the fractional parameter of the space-dependent fractional Schrödinger equation and multiple values of the system's energy to find the wave function and the probability in these cases.

Source: Physics Letters A - July 13, 2019 Category: Physics Source Type: research