New Journal of Physics · 2004 · 262 citations · 49 references
Natural SciencesPhysicsComputational ChemistryCondensed Matter PhysicsQuantum MechanicsElectronic Band StructureElectronic Structure Of SolidsBand TheoryBloch EquationsBloch StatesBloch Wave AnalysisQuantum Wavepacket DynamicsTight-binding ApproximationTight-binding ModelsTight-binding Theory
Abstract. We study the dynamics of Bloch oscillations in a one-dimensional periodic potential plus a (relatively weak) static force. The tight-binding and single-band approximations are analysed in detail, and also in a classicalized version. A number of numerically exact results obtained from wavepacket propagation are analysed and interpreted in terms of the tight-binding and single-band model, both in co-ordinate and momentum space. Contents
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Handbook of Mathematical Functions
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Handbook of Mathematical Functions
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