In this study, the solution of the position-dependent mass Schrödinger equation (PDMSE) for the screened Kratzer potential with the Aharanov-Bohm and position-dependent external magnetic fields are investigated using asymptotic iteration method. The energy eigenvalues and the corresponding eigenfunctions are obtained in closed form. We evaluated the partition function of the system and calculated the thermodynamic properties of the system such as Helmholtz free energy, entropy, internal energy, specific heat and the magnetization and magnetic susceptibility of the system at zero and finite temperatures.

中文翻译：

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在Aharanov-Bohm（AB）和位置相关磁场的影响下，质量随空间变化的已屏蔽Kratzer势的热磁特性

在这项研究中，使用渐近迭代法研究了位置相关的质量薛定ding方程（PDMSE）与Aharanov-Bohm屏蔽的Kratzer势以及位置相关的外部磁场的解。能量特征值和相应的特征函数以封闭形式获得。我们评估了系统的分配函数，并计算了系统的热力学性质，例如亥姆霍兹自由能，熵，内能，比热以及在零和有限温度下系统的磁化率和磁化率。