Abstract
In this paper, the influence of dispersion and polarization on the electronic probability density, the transition frequency and the longitudinal optical (LO) phonon spontaneous emission rate in the two-parameter asymmetric Gaussian confinement (AGC) potential two-level system with the electric field are studied by using the Pekar-type variational method. Numerical results show that the selecting the two-parameter AGC potential to describe the restricted effects of electron in quantum dot can more accurately reveal the quantization characteristics of of the wave property of electronic states, the statistical regularity of electron motion and LO phonons spontaneous emission rate. The influence of the electric field, dispersion and electron -phonon coupling of materials on the probability distribution, transition frequency and LO spontaneous emission rate in the two-level system cannot be ignored.
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