Ra. Evarestov et Vp. Smirnov, BAND AND LOCALIZED STATES IN FINITE AND INFINITE CRYSTALS, Physica status solidi. b, Basic research, 180(2), 1993, pp. 411-421
The connection of symmetry groups, their irreducible and band represen
tations for the models of finite and infinite crystals is considered i
n detail. The relation between localized (electronic and vibrational)
states of finite and infinite crystals is studied on models. It is fou
nd that the Wannier states of an infinite crystal are reproduced well
by Wannier states of cyclic systems with size slightly exceeding the r
egion of their localization.