The famous Lee–Low–Pines transformation method is employed to receive the ground-state energy (GSE), first excited state energy (FESE), excited energy (EE), transition frequency (TF), and ground state binding energy (GSBE) of the weak coupling magnetopolaron in the asymmetrical Gaussian potential quantum well (AGPQW) under the influence of decay magnetic field (DMF). Results demonstrate that the GSE, FESE, EE, and TF are increasing functions of the depth of the AGPQW and the initial magnetic induction intensity (IMII) and decreasing functions of the range of the AGPQW and the DMF's decay frequency (DF) and decay time (DT) using GaAs crystals for numerical simulations. In contrast, the GSBE can decrease with the depth of the AGPQW and the IMII and increase with the range of the AGPQW and the DF and DT. The obtained research results are theoretically significant for recognizing, understanding, and applying of magnetopolaron effect of GaAs crystals.
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