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absorption approximation assumed atom axis band index band structure Bloch functions Brillouin zone calculation coefficient conduction band constant contribution crystal deﬁned deﬁnition delta function denoted density dependence determined diagonal diagrams dielectric function discussion effective mass electric ﬁeld energy band exciton expression external ﬁeld factor Fermi energy Fermi surface ferromagnetic ﬁnal ﬁnd ﬁnite ﬁrst term ﬁrst-order ﬂux free electron frequency given Green’s function Hamiltonian Hartree—Fock impurity integral interaction introduce involving Kohn Landau levels lattice vector magnetic ﬁeld matrix element metal momentum neglected obtained operator optical orbit oscillations parabolic band particle perturbation theory phase shift phonon Phys potential present problem quantity quantum replace representation resonance result satisﬁed scattering second order second-order Section semiconductors signiﬁcant simpliﬁed single single-particle solid solution speciﬁc spin superconductivity suppose symmetric temperature tensor tion transition vanishes Wannier functions wave function wave vector zero