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 quan...

The approach is based on a pragmatic view of naturally occurring quantum systems, referred to in this paper as Wave Packet Network (WPN) theory. This pragmatic view of quantum mechanics interprets large classical systems as multi-scale networks of wave packets. Exchanges of information between pairs of WPN packets cause both packets to restructure (―collapse‖) in ways that restrict the sets of ...

The opportunity to observe color transparency (CT) is determined by how rapidly a small-sized hadronic wave packet expands. Here we use SU(2) lattice gauge theory with Wilson fermions in the quenched approximation to investigate the expansion. The wave packet is modeled by a point hadronic source, often used as an interpolating field in lattice calculations. The procedure is to determine the Eu...

We examine the phenomenon of negative refraction using wave packet propagation. The behavior of a single plane wave incident from vacuum onto a flat surface of a medium with a negative index of refraction is solved analytically. The solution requires matching electromagnetic field components across the interface and produces a reflected and a refracted wave in addition to the incident wave. We ...