Optical transitions in a parabolic quantum well with an applied electric field—analytical solutions

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Abstract
Both interband and intersubband optical transitions in a parabolic quantum well with an applied electric field are investigated. The wave functions for the electrons and holes are those of the displaced harmonic oscillators, which are shifted in opposite directions. The dipole moment matrices, the absorption coefficients, and the changes in the refractive indices are evaluated with the intrasubband relaxations taken into account. Interesting electroabsorption and electro-optic effects are presented analytically and numerically.