Numerical simulation of the space dependent fractional Schrodinger equation for London dispersion potential type.

ABSTRACT: In this study, we apply the definition of one of the fractional derivatives definitions of increasing values of the variable, which is the fractional derivative of Riemann-Liouville, and the numerical-integral methods to find numerical solutions of the fractional Schrödinger equation with the time-independent form for Van Der Walls potential type. We use the dimensionless formalism of the fractional Schrödinger equation in the space-dependent form in case of London dispersion potential in the stationary state. The solutions are found for multiple values of the space-dependent fractional Schrödinger equation parameter with a certain value of the energy. We find that the numerical solutions are physically acceptable for some values of the space dependent fractional parameter of the fractiona

SUBMITTER: Al-Raeei M 

PROVIDER: S-EPMC7369620 | biostudies-literature | 2020 Jul

REPOSITORIES: biostudies-literature