Bloch spectrum


The Bloch spectrum is a concept in quantum mechanics in the field of theoretical physics; this concept addresses certain energy spectrum considerations. Let H be the one-dimensional Schrödinger equation operator
where Uα is a periodic function of period α. The Bloch spectrum of H is defined as the set of values E for which all the solutions of φ = 0 are bounded on the whole real axis. The Bloch spectrum consists of the half-line E0 < E from which certain closed intervals are omitted. These are forbidden bands so the are allowed bands.