Abstract
Electron interactions with interface phonon modes and strictly confined bulk phonon modes are considered to calculate the resonant magnetopolaronic 1s-2${\mathit{p}}_{+}$ transition energy of a hydrogenic impurity in the quantum well of a double heterostructure. An interaction gap is predicted between the bulk LO and TO frequencies, in constrast to the Fr\"ohlich-type interaction. These results are in good agreement with recent experimental data.
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