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Review of Energy Dispersion Relations in Solids
web.mit.eduwave solution E(0)(~k) = „h2k2 2m: (1.3) The corresponding normalized eigenfunctions are the plane wave states ˆ(0) ~k (~r) = ei~k¢~r ›1=2 (1.4) in which › is the volume of the crystal. The flrst order correction to the energy E(1)(~k) is the diagonal matrix element of the perturbation potential taken between the unperturbed states: E ...