Scattering problems via real-time wave packet scattering

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on tight-binding band structure. We do by using the wave packet approach scattering, which presents more intuitive physical picture than traditional plane approach. Moreover, general matrix diagonalization that is easily accessible undergraduate students taking first course quantum mechanics used. Beginning with brief review of transport continuum limit, comparisons are made its counterpart lattice. The results obtained through then benchmarked against analytic results. case resonant dimer investigated lattice, and several values mean momentum identified. transmission coefficients for incident step potential rectangular barrier compared investigating an equivalent scenario Finally, present short simulations process, emphasize how simple methodology can be used visualize some remarkable phenomena.