Abstract
By using the variational method of Pekar type, the ground state and the first excited state of the strong coupling magnetopolaron in cylinder-shape quantum dot are considered. The results show that, with the increasing cyclotron frequency and the confinement strength, the magnetopolaron binding energies in both the ground state and the excited state, and the resonance frequency of magnetopolaron are enhanced. The limiting case of the bulk and strict one-dimensional type is also discussed.
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