Propagation of a wavepacket on a model fractal lattice

Abstract

Dynamics of a wavepacket on a model fractal surface has been studied by solving the pertinent time dependent Schrodinger equation. Spatial and temporal behaviour of charge and current densities and a local chemical potential for two different fractal lattices have been considered. Important insight into the dynamics has been obtained through time dependence of various quantities like macroscopic kinetic energy, global current, Shanon entropy, density correlation and global chemical potential. This study would be helpful in simulating adsorption and catalysis.