The Hamiltonian of an electron confined in a parabolic quantum dot in the presence of perpendicular magnetic field, donor impurity, and tilted electric field, has been solved by employing an exact diagonalization method. All the energy matrix elements have been derived in analytical forms. We have displayed the variation of the computed energy levels, binding energy and heat capacity of the quantum dot with the physical Hamiltonian parameters like: external magnetic and electric fields, confining strength, tilt angle and temperature. It’s found that the binding energy increases as the magnetic field increases. However, it decreases as the electric field increases. The dependence of the heat capacity on the electric field and magnetic fields and impurity has also been investigated. The calculated results show that heat capacity increases as the electric field increases, while it decreases with the enhancement of the magnetic field. In addition, the presence of the donor impurity is found to enhance the heat capacity. The present results are consistent with those reported in the literature.

中文翻译：

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倾斜电场和磁场对 GaAs 量子点中给体杂质能级、结合能和热容量的影响

在存在垂直磁场、施主杂质和倾斜电场的情况下，限制在抛物线量子点中的电子的哈密顿量已经通过使用精确对角化方法求解。所有能量矩阵元素都以解析形式导出。我们已经展示了量子点的计算能级、结合能和热容量与物理哈密顿参数的变化，例如：外部磁场和电场、限制强度、倾斜角和温度。发现结合能随着磁场的增加而增加。然而，它随着电场的增加而减小。还研究了热容量对电场和磁场以及杂质的依赖性。计算结果表明，热容随着电场的增加而增加，而随着磁场的增强而减小。此外，发现施主杂质的存在提高了热容量。目前的结果与文献报道的结果一致。