Bloch spectrum

Bloch spectrum

1. (quantum mechanics) A concept relating to energy spectra. Let H be the one-dimensional Schrödinger equation operator ${\displaystyle H=-{\frac {d^{2}}{dx^{2}}}+U_{\alpha },}$ where U_α is a periodic function of period α. The Bloch spectrum of H is the set of values E for which all the solutions of (H − E)φ = 0 are bounded on the whole real axis.