In this study, we investigated electronic properties of a dumbbell-shaped Quantum Dot (QD) made from gallium arsenide. For this purpose, we employ the finite element method. Our investigation begins by calculating the wave functions and energies of the ground state and the first nine excited states. This allows us to understand how the quantum dot's shape impacts its electronic structure. Based on the obtained results for the wave functions and energies of one electron, we calculated the oscillator strengths for different quantum transitions. We discover that the most pronounced absorption occurs during transitions between the ground state and the second, third, eighth, and ninth excited states. Additionally, we analyzed the absorption processes between these energy levels and revealed the dependence of the absorption coefficient for the intraband transitions dumbbell-shaped QD on the energy of the incident light.
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