Physical Review · 1957 · 11 citations · 4 references
Natural SciencesChemistryMaterials ScienceCondensed Matter PhysicsElectronic MaterialsSemiconductor MaterialsOptical Properties Of SemiconductorsRadiative ProcessesSemiconductor DefectsSemiconductor Device MaterialsSemiconductor PhysicsWide Band Gap SemiconductorsRadiative Properties Of MaterialsRadiative Transition RatesRadiative Transitions
A multicomponent formalism similar to that of Adams is developed and applied to the calculation of transition matrix elements. The problem of the perturbed periodic potential is treated in the Bloch representation in such a way that the wave functions may be expressed in explicit form. First-order corrections to the effective mass theory are obtained, and matrix elements for radiative intraband and allowed and forbidden interband transitions are presented.
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Motion of Electrons and Holes in Perturbed Periodic Fields
J. M. Luttinger, W. Kohn · Physical Review · 1955 · 3.1K citations
Motion of an Electron in a Perturbed Periodic Potential
E. N. Adams · Physical Review · 1952 · 104 citations