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By G. Landwehr

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In this case all En' = En. 8) where In the system of the principal axes, tensor m -1 has, in general, three linearly independent components m~; The position of the principal axes is determined by the symmetry of the wave vector group at the point Ko. For degenerate bands, the energy is derived from the solution of the secular equation m;; , det{'H - E I} = o. , m;l. 9) In semiconductors with several closely lying bands, the solution in the form of an expansion in powers of k is frequently insufficient.

This element (rlr)2 = (r2lr + rr) may contain also a trivial translation t. , equal, which is possible only for k = 0, or differ by the reciprocal lattice vector b (case 1), or are inequivalent. In the latter case, the situation may again be different depending on whether there is among the symmetry elements an element R sending k in -k (case 2) or not (case 3). For different rays of the star, this element R may be different, but if it exists for one pair (k, -k), then it does as well for the other pairs of the star.

48 3 Electron Spectrum in Crystals, Quantum Wells and Superlattices Here pep = LPi£ijPj, ij (U£) = U£[(l + £)x] - Uo(x) = L Uij(X)£ji. 28b) vanishes. If the elements of the wave vector group include the (cilr) operation, the second term also vanishes. The components D~n' are called the deformation potential constants. 5 with f = 1 and DK = Db + Dt. -te =L Dij£ij. 29) ij When transformed to the principal axes, the tensor D, just as the tensor I j m *, has in general three linearly independent components Dxx , D yy , and Dzz .

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