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[1] of H is defined as the set of values E for which all the solutions of (H − E)φ = 0 are bounded on the whole real axis.
The Bloch spectrum consists of the half-line E0 < E from which certain closed intervals [E2j−1, E2j] (j = 1, 2, ...) are omitted.
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