We present exact calculations of the amplitude and the probability self-propagators for two model systems. Both systems consist of a quasiparticle moving among the sites of an infinite linear chain via nearest-neighbour matrix elements. In one model, the site energies alternate in space but the intersite interactions are all the same. In the other model, the interactions alternate but the site energies are all the same. Similarities and differences are explored and the extreme parameter limits are studied.
ASJC Scopus subject areas
- Physics and Astronomy(all)