In this article, effects of electromagnetic field and asymmetric Gaussian potential (AGP) on the bound polaron’s low energy state in quantum well are explored theoretically by the Lee-Low-Pines unitary transformation and Pekar type variational method. The variation of the ground state energy and the first excited state energy of the polaron with the Coulomb bound potential (CBP) strength at different electron-phonon coupling (EPC) constants, electric field (EF) strengths, heights and ranges of the AGP and magnetic field adjustment lengths are obtained. Our numerical results indicate that the polaron’s low energy state depends on the EPC constant, the EF strength, the AGP’s height and range and the CBP strength.

中文翻译：

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电磁场和非对称高斯势对量子阱束缚极化子低能态能量的影响

本文通过Lee-Low-Pines幺正变换和Pekar型变分方法，从理论上探讨了电磁场和非对称高斯势(AGP)对束缚极化子在量子阱中低能态的影响。在不同的电子-声子耦合 (EPC) 常数、电场 (EF) 强度、AGP 和 AGP 的高度和范围下，极化子的基态能量和第一激发态能量随库仑束缚势 (CBP) 强度的变化获得磁场调整长度。我们的数值结果表明极化子的低能状态取决于 EPC 常数、EF 强度、AGP 的高度和范围以及 CBP 强度。