In this research, the effects of magnetism and parabolic potential on strongly coupled polaron characteristics within asymmetric Gaussian quantum wells (AGQWs) were investigated. To do so, the following six parameters were studied, temperature, AGQW barrier height, Gaussian confinement potential (GCP) width, confinement strengths along the directions of x and y, as well as magnetic field cyclotron frequency. The relationships among frequency oscillation, AGQW parameters and polaron ground state energy in RbCl crystal were studied based on linear combination operator and Lee–Low–Pines unitary transformation. It was concluded that ground state energy absolute value was decreased by increasing GCP width and temperature, and increased with the increase of confinement strength along x and y directions, cyclotron frequency of magnetic field and barrier height of AGQW. It was also found that vibrational frequency was increased by enhancing confinement strengths along the directions of x and y, magnetic field cyclotron frequencies, barrier height AGQW and temperature and decreased with the increase of GCP width.

中文翻译：

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抛物线势和磁性对不对称高斯量子阱内强耦合极化子特性的影响

在这项研究中，研究了磁性和抛物线势对不对称高斯量子阱 (AGQW) 内强耦合极化子特性的影响。为此，研究了以下六个参数：温度、AGQW 势垒高度、高斯限制电位 (GCP) 宽度、沿X和是的，以及磁场回旋频率。基于线性组合算子和Lee-Low-Pines酉变换研究了RbCl晶体中频率振荡、AGQW参数和极化子基态能量之间的关系。得出结论：基态能量绝对值随着GCP宽度和温度的增加而降低，随着约束强度的增加而增加X和是的方向、磁场的回旋频率和 AGQW 的势垒高度。还发现振动频率通过沿方向增强限制强度而增加X和是的, 磁场回旋频率, 势垒高度 AGQW 和温度随着 GCP 宽度的增加而减小。