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arXiv · 1402.4679

Application of the variations calculus on energy spectra of shallow hydrogen-like impurities and excitons in GaAs/AlGaAs quantum wells

A. Gubanov·G. F. Glinskii
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Abstract

A variational calculus method is applied for hydrogen-like impurities states and exciton states in AlGaAs/GaAs quantum wells within the effective masses approach. The hamiltonian is separated into radial and transversal parts to be considered and optimized using trial wavefunctions. The results satifsy the well-known cases of three-dimentional and two-dimentional hydrogen. The donor and exciton bound energy is shown to decrease while widthening the quantum well. The non-symmetrical donor position also decreases the bound energy.

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A. Gubanov, G. F. Glinskii. 2014-02-19. Application of the variations calculus on energy spectra of shallow hydrogen-like impurities and excitons in GaAs/AlGaAs quantum wells. https://arxiv.org/abs/1402.4679

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