Anisotropy parabolic potential (APP) effects on ground state (GS) energy E0 and the vibration frequency (VF) λ of weak-coupled magnetopolaron (MP) in asymmetric Gaussian quantum wells (AGQWs) were investigated using the linear combination operator and unitary transformation method. The obtained results showed that E0 and λ were increased by increasing the barrier height V0 of AGQWs as well as transverse and longitudinal confined strengths ωx and ωy of APP and decreased with increase in the asymmetric Gaussian confinement potential (AGCP) range R and transverse and longitudinal effective confined lengths lx and ly of APP. Thus, the GS energy and VF of MP could be changed by adjusting the confinement parameters of the APP and AGCP. The study of quantum wells’ semiconductor materials has broad potential applications in semiconductor lasers, optoelectronic devices and quantum information.

中文翻译：

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非对称高斯势量子阱中抛物线势对磁极化子基态能量和振动频率的影响

各向异性抛物线势 (APP) 对基态 (GS) 能量的影响乙0和振动频率（VF）λ使用线性组合算子和酉变换方法研究了非对称高斯量子阱（AGQW）中的弱耦合磁极化子（MP）。所得结果表明乙0和λ通过增加势垒高度来增加五0AGQWs 以及横向和纵向限制强度ωX和ω是的APP 和随着不对称高斯限制电位 (AGCP) 范围的增加而降低R和横向和纵向有效限制长度lX和l是的的APP。因此，可以通过调整APP和AGCP的约束参数来改变MP的GS能量和VF。量子阱半导体材料的研究在半导体激光器、光电子器件和量子信息等领域具有广泛的潜在应用。