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ANALYTIC PROPERTIES OF THE BLOCH FUNCTIONS
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airfT allowed zone arf3 arfa arfJ arfT asymptotic region band gap Bloch functions Bloch wave branch singularities Brillouin zone coefficients complex conjugate complex plane connecting relations connection formula consider crystalline crystalline-WKB degenerate dispersion relation dominant effective mass approximation effective mass particle electric field electron exponential field strengths forbidden band forbidden gap forbidden zone hence Houston functions impurity integration Kane Landau levels linear combination linear turning points linearly independent solutions magnetic band magnetic field magnetic levels matrix element one-dimensional periodic perturbation phase condition physics potential pure real real axis reciprocal lattice Schroedinger equation srf3 srfJ srfT stationary subdominant symmetry term translation group uniform electric field uniform field unit cell vector Wannier Wannier-Slater wave function wave number weak binding WKB approximation WKB-like zone boundary zone edge Zone turning points