Analogous to Landau quantization related to a neutral particle possessing an electric quadrupole moment, we generalize such Landau quantization to include position-dependent mass (PDM) neutral particles. Using cylindrical coordinates, the exact solvability of PDM neutral particles with an electric quadrupole moment moving in electromagnetic fields is reported. The interaction between the electric quadrupole moment of a PDM neutral particle and a magnetic field in the absence of an electric field is analyzed for two different radial cylindrical PDM settings. Next, two particular cases of radial electric fields (E={\lambda}\r{ho}/\r{ho} and E={\lambda}\r{ho}/2\r{ho}) are considered to investigate their influence on the Landau quantization (of this system using the same models of PDM settings). The exact eigenvalues and eigenfunctions for each case are analytically obtained.

中文翻译：

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与位置相关的质量量子粒子与电磁场相互作用的电四极矩的朗道量子化

类似于与具有电四极矩的中性粒子相关的朗道量化，我们将这种朗道量化推广到包括位置相关质量 (PDM) 中性粒子。使用圆柱坐标，报告了在电磁场中移动的具有电四极矩的 PDM 中性粒子的精确可解性。针对两种不同的径向圆柱形 PDM 设置，分析了在没有电场的情况下 PDM 中性粒子的电四极矩与磁场之间的相互作用。接下来，考虑径向电场的两种特殊情况（E={\lambda}\r{ho}/\r{ho} 和 E={\lambda}\r{ho}/2\r{ho}）研究它们对 Landau 量化（使用相同 PDM 设置模型的系统）的影响。