Probability Density, Transition Frequency and Spontaneous Emission Rate in the Asymmetric Gaussian Potential Two-Level System with Magnetic Field

摘要

The electronic probability density, the transition frequency and the longitudinal optical (LO) phonon spontaneous emission rate in the two-parameter asymmetric Gaussian (AG) potential two-level system with magnetic field are studied by using the Pekar variational method, and their single-parameter parabolic potential approximation is discussed. Numerical results show that the selecting the two-parameter AG potential to describe the restricted effects of electron in quantum dot can more accurately reveal the quantization characteristics of the wave property of electronic states, the statistical regularity of electron motion and the LO phonons' spontaneous emission rate, and the results given by the single-parameter parabolic approximation are relatively rough. The influence of the magnetic field, dispersion and electron-phonon coupling of materials on the probability distribution, quantum transition frequency and the LO spontaneous emission rate in the two-level system cannot be ignored.