In this work, the effect of parabolic potential on the properties of strongly coupled polaron in an asymmetric Gaussian quantum well (QW) has been studied. Relations of the frequency vibration and the strongly coupled polaron’s ground-state energy in an asymmetric Gaussian QW for RbCl crystals at different confinement strengths along the x and the y directions, the asymmetric Gaussian QW barrier heights, and the Gaussian confinement potential widths and temperatures have been studied using the Lee–Low–Pines unitary transformation and the linear combination operator methods. Calculations show that the absolute value of ground-state energy increased with increasing confinement strengths along the x and the y directions and asymmetric Gaussian QW barrier height, and derease with increeasing Gaussian confinement potential width, and temperature. In addition, vibrational frequency was found to decrease with increasing Gaussian confinement potential width and to increase with increasing confinement strengths along the x and the y directions, asymmetric Gaussian QW barrier height, and temperature. The five parameters involved in this paper are important physical quantities for studying the properties of Gaussian QWs, and have important physical significance for the study of nanomaterials.

在这项工作中，研究了抛物线势对非对称高斯量子阱 (QW) 中强耦合极化子的性质的影响。对于沿x和y方向的不同限制强度的 RbCl 晶体，非对称高斯 QW 中的频率振动与强耦合极化子的基态能量、非对称高斯 QW 势垒高度以及高斯限制势宽度和温度的关系有使用 Lee-Low-Pines 酉变换和线性组合算子方法进行了研究。计算表明，基态能量的绝对值随着沿x和y方向的约束强度的增加而增加方向和非对称高斯 QW 势垒高度，并随着高斯限制势宽度和温度的增加而降低。此外，发现振动频率随着高斯限制势宽度的增加而降低，并且随着沿x和y方向的限制强度、非对称高斯 QW 势垒高度和温度的增加而增加。本文涉及的五个参数是研究高斯QWs性质的重要物理量，对纳米材料的研究具有重要的物理意义。